Question

Two numbers are in the ratio 8:13 if 14 is added to each the numbers. The ratio becomes 2:3 find the numbers​

Answer 1

☆ Solution ☆

Given :-

• Two numbers are in the ratio 8 : 13 .
• 14 is added to each the numbers .
• The ratio becomes 2:3 .

To Find :-

• The numbers .

Step-by-Step-Explaination :-

Ratio of the numbers = 8 : 13

Let the two numbers be 8x and 13x .

When 14 is added to these numbers the ratio becomes 2 : 3 .

=> 8x + 14 / 13x + 14 = 2 / 3

=> 3 ( 8x + 14 ) = 2 ( 13x + 14 )

=> 24x + 42 = 26x + 28

=> 26x - 24x = 42 - 28

=> 2x = 14

=> x = 14/2

=> x = 7

Then,

The number are :-

8 × 7 = 56

13 × 7 = 91

Hence,

The number are 56 and 91.