The sum of two numbers is 49.6. One of the number is 9 times the other number. ,What is the two number?
1. The sum of two numbers is 49.6. One of the number is 9 times the other number. ,What is the two number?
Jawab:
Penjelasan dengan langkah-langkah:
Kita beri permisalan angka pertama = a dan agka kedua = b
a+b=49,6
ax9=b
kita subtitusikan ax9=b ke dalam a+b=49,6
a+b=19,6
a+(ax9)=49,6
10a=49,6
a=4,96
b=ax9
=4,96x9
=44,64
2. The sum of two numbers is 20 and the sum of their squares is 272. Find the firstnumber
Jawab:
4 or 16
Penjelasan dengan langkah-langkah:
Let the numbers be x and y
x + y = 20
sum of their squares is 272 so x^2 + y^2 = 272
Find the first number,
We know that x^2 + y^2 = (x + y)^2 - 2xy
so 272 = 20^2 - 2xy
272 = 400 - 2xy
2xy = 128
xy = 64
We know that x + y = 20 and xy = 64, so we can make quadratic equation,
let a1 = x and a2 = y
a^2 - 20a + 64 = 0
(a - 16)(a - 4) = 0
a = 16 or a = 4
So the first number can be 4 or 16
If the first number less than the second, the answer is 4
Semoga terbantu :)
IG: @djie.jemmy
Jawab:
4 or 16Penjelasan dengan langkah-langkah:
If the first number is [tex]x[/tex] and the second one is [tex]y[/tex],
we can write:
[tex]x + y = 20[/tex]
[tex]x^{2} + y^{2} = 272[/tex]
Then
[tex]x = 20 - y[/tex]
Substitute [tex]x = 20 - y[/tex] to [tex]x^{2} + y^{2} = 272[/tex]
[tex](20 - y)^{2} + y^{2} = 272[/tex]
[tex]400 - 40y + y^{2} + y^{2} = 272[/tex]
[tex]2y^{2} - 20y + 128 = 0[/tex]
Factorize the equation and we get:
[tex](y-16)(y-4) = 0[/tex]
[tex]y = 16[/tex] ∨[tex]y = 4[/tex]
If we substitute [tex]y = 16[/tex] to [tex]x = 20 - y[/tex], we get [tex]x = 4[/tex]
So, we can conclude that both numbers are 4 and 16.
3. PAKAI CARA The sum of two numbers is 112.5. The greater number is 5 times the smaller number. Find the two numbers.
Jawaban:
18.75 & 93.75
Penjelasan dengan langkah-langkah:
x + 5x = 112.5
6x = 112.5
x = 112.5 ÷ 6
= 18.75
smaller number = 18.75
greater number = 18.75 × 5 = 93.75
4. There are two numbers. The sum of the larger number and three times the smaller number is 14. The larger number is two more than the smaller number.
Jawaban:
Ini
Penjelasan dengan langkah-langkah:
Ada dua nomor. Jumlah bilangan yang lebih besar dan tiga kali bilangan yang lebih kecil adalah 14. Jumlah yang lebih besar adalah dua lebih banyak dari pada bilangan yang lebih kecil.
5. what is the sum of the highest two digit prime number and the highest 3 digit prime number?
Berapa jumlah dari dua digit bilangan prima tertinggi dan 3 digit bilangan prima tertinggi
Penjelasan:
Itu terjemahannya KK
#maafkalo salah#
6. The sum of two number is 42 , twice the first number plus the two-third the second number is 52. Find the number
Jawab:
nilai x dan y soal diatas masing-masing adalah 10 dan 32
Penjelasan dengan langkah-langkah:
Soal diatas membahas mengenai persamaan linier dua variabel hanya saja soal mengunakan bahasa inggris. jika diterjemahkan akan menjadi sebagai berikut:
"Jumlah dua bilangan adalah 42 , dua kali bilangan pertama ditambah dua pertiga bilangan kedua adalah 52."
Kita buat permisalan dulu misalnya angka pertama adalah x dan angka kedua adalah y. maka akan terbentuk persamaan linier dua variabel seperti berikut ini:
[tex]x+y=42\\2x+\frac{2}{3} y=52[/tex]
Maka bisa kita cari nilai x dan y sebagai berikut:
[tex]x+y=42[/tex] (x3)
[tex]2x+\frac{2}{3} y=52[/tex] (x3)
[tex]3x+3y=126\\6x+3y=156[/tex] (kurangi persamaan 1 dan 2)
[tex]-3x = -30\\x = \frac{-30}{-3} \\x=10[/tex]
Subtitusikan hasil ke persamaan 1
[tex]x+y=42[/tex]
[tex]10+y=42\\y=42-10\\y=32[/tex]
Jadi nilai x dan y soal diatas masing-masing adalah 10 dan 32
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7. the difference of two number is 13.the sum of the number is 59.find the numbers
Jawaban:
The numbers = 36 and 23
Penjelasan dengan langkah-langkah:
Cara ada di foto.
Maaf ya kalau salah.
8. the sum of two number is 207. the difference between the two number is 11. find the greater number
Jawab:
Penjelasan dengan langkah-langkah:
let's assume:
1st number = x
2nd number = y
therefore,
(1) x + y = 207
(2) x - y = 11
x = 11 + y
subtitute value of x from 2nd equation to 1st equation:
x + y = 207
11 + y + y = 207
11 + 2y = 207
2y = 207 - 11
2y = 196
y = 196/2
y = 98
so,
x - y = 11
x - 98 = 11
x = 11 + 98
x = 109
prove:
109 + 98 = 207
109 - 98 = 11
so, the greater number is 109!!
9. The difference between two numbers is 10 and their sum is four times the smaller number. Find the two numbers
Jawaban:
5 dan 15
misal: bilangan terkecil □ dan bilangan terbesar ■
□+■=□□□□ maka didapat ■=□□□
■-□=□□=10 jadi □=5
karena ■=□□□ maka ■=5+5+5=15
10. the difference of two positive number is 3, and the sum of their square is 117. determine the two number
4 - 1 = 3
5 - 2 = 3
6 - 3 = 3
7 - 4 = 3
8 - 5 = 3
9 - 6 = 3
...
Find the sum of the square with the result 117
16 + 1 ≠ 117
25 + 4 ≠ 117
36 + 9 ≠ 117
49 + 16 ≠ 117
64 + 25 ≠ 117
81 + 36 = 117
The two numbers are 9 and 6
11. The sum of 40 % of number A and 30 % of number B is 6. The sum of 25 % of number A and 15% of number B is 5. Accordingly, what is the value of A?
40%A+30%B=6
----------------------- x 100
40A+30B=600
4A,+3B=60
25%A+15%B=5
---------------------- x 100
25A+15B=500
5A+3B=100
4A+3B= 60
------------------ -
A = 40
12. The sum of two numbers is 63. The ratio of the two numbers is 4:5. Find the first number and the second number!
• first number :
4 / (4 + 5) x 63 = 28
• second number :
5 / (4 + 5) x 63 = 45
13. The sum of two numbers is 66.4. One number is 19 times the other number. What are the two numbers?
Jawaban:
Jumlah dari dua angka adalah 66,4. Satu angka sama dengan 19 kali angka lainnya. Apa
dua angka itu?
translate nya
Penjelasan dengan langkah-langkah:
tapi maaf kurang mengerti saya
14. The sum of the two numbers is 4 the difference between the two number is 44 find the number (......and.....)
Jawaban:
24 and (-20)
Penjelasan dengan langkah-langkah:
a+b=4
a-b=44
----------- +
2a=48
a=24
a+b=4
24+b=4
b=-20
15. There are five positive numbers. The sum of the first and the fifth number is 15. the second number is ⅓ of the sum of these five numbers, the third number is ¼ of this sum and the fourth number is 1/5 of this sum. What is the value of the largest number? (Pakai cara)
example : the five positive numbers are a, b, c, d, and e,, the sum = x
a + e = 15
b = 1/3 x
c = 1/4 x
d = 1/5 x
otomatis a = 1/2 x dan e = 1/6 x
1/2 x + 1/6 x = 4/6 x = 2/3 x
a + e = 15
2/3 x = 15
x = 15 : 2/3
= 45/2
the value of the largest number is
a = 1/2 x = 1/2 ( 45/2 ) = 45
=>> 45
maaf kl salah
16. the sum of three times a number and 11 is 32 .write the expression
Jawaban:
3x + 11 = 32
Penjelasan:
Three times a number = 3 kali suatu bilangan
Jadi the sum of three times a number and 11 is 32 bentuknya yaitu 3x + 11 = 32
17. a number contains of two digits. the ones is two more than the tenth. if the sum of the ones and the tenth is six times the differences, then the number is
Jawab:
The number is 75
Penjelasan dengan langkah-langkah:
Misalnya :
puluhan = x dan satuan = y
maka menjadi xy
x = y + 2.....(1)
x+y = 6(x-y).....(2)
x+y = 6x - 6y
y + 6y = 6x - x
7y = 5x
y = 5/7x
disubstitusi ke pers 1
x = y + 2
x = 5/7x + 2
x - 5/7x = 2
2/7x = 2
x = 2 . 7/2
x = 7
disubstitusi ke pers 2
y = 5/7 x
y = 5/7 (7)
y = 5
The number is 75
Mapel: Matematika
Kelas: 8
Materi: operasi bentuk aljabar
Kata Kunci: aljabar
Kode soal: 2
Kode Kategorisasi : 8.2.1
18. lionel is thinking of two numbers. the sum of twice the larger number and 4 times the smaller number is 40. twice the smaller number is 4 more than the larger number. find the larger number.
[tex]2l + 4s = 40 \\ 2s = l + 4 \\ 2l + 2s + 2s = 40 \\ 2l + l + 4 + l + 4 = 40 \\ 4l + 8 = 40 \\ 4l = 40 - 8 \\ 4l = 32 \\ l = \frac{32}{4} \\ l = 8 [/tex]
19. the sum of 3 even number is 90 the sum of the biggest and the smallest number is
Jawaban:
jumlah dari 3 bilangan genap adalah 90 hasil penjumlahan dari bilangan terbesar dan terkecil
20. The difference between two numbers is 10 and their sum is four times the smaller number. Find the two numbers.
Jawaban:
a = 15
b = 5
Penjelasan dengan langkah-langkah:
a - b = 10
a + b = 4b
a + b = 4b
a = 4b - b
a = 3b
a - b = 10
3b - b = 10
2b = 10
b = 5
a + 5 = 20
a = 20 - 5
a = 15
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