Question

two numbers are in the ratio between them is 3 ratio 5 if each is increased by 10 the ratio between the new number so formed is 5 ratio 7 find the original number​

Answer 1

Given:-

• Two numbers are in the ratio between them is 3 ratio 5 if each is increased by 10 the ratio between the new number so formed is 5 ratio 7

To find:-

• Find the original number..?

Solutions:-

• Let the number be 3x
• Let the number be 5x

According to the questions;

Each number is increased by 10, the ratio between the new number so formed is 5 : 7.

=> 3x + 10 / 5x + 10 = 5/7

=> 7(3x + 10) = 5(5x + 10)

=> 21x + 70 = 25x + 50

=> 21x - 25x = 50 - 70

=> -4x = -20

=> x = -20/-4

=> x = 5

So,

first number = 3x

=> 3 × 5

=> 15

Second number = 5x

=> 5 × 5

=> 25

Hence, the original number of x is 15 and y is 25.