Question

the sum of two numbers is 45 and their ratio is 7:8. find the numbers

Answer 1

Let the numbers be 7x ,8x
By the problem,
7x+8x=45
15x=45
x=45/15
x=3
Therefore,the numbers are 7(3)=21,8(3)=24

Answer 2

Given that two numbers are in 7:8 ratio
Let the numbers be 7x and 8x
Given that their sum = 45
⇒ 7x+8x = 45
⇒ 15x = 45
⇒ x = 45/15
⇒ x = 3
∴ The numbers are
7x = 7×3 = 21
and
8x = 8×3 = 24
∴ The numbers are 21 and 24