Question

Two numbers are in the ratio 7: 8. If 4 is added to
both of them, the resulting numbers are in the ratio
8:9. Find the numbers.​

Answer 1

Answer:

The numbers are 32 and 28

Refer to the image my dear friend ✌✌

Answer 2

Answer:

Given : ratio of 2 numbers = 7:8

4 is added to both the numbers and the new ratio is 8:9

To find : The numbers

Calculations:

Let the constant of proportionality be "x"

Therefore the numbers are 7x and 8x

Now 4 is added to both the numbers

The new numbers are (7x +4) and (8x+4)

The new ratio becomes 8:9

Therefore

( 7x +4)/(8x+4) = 8/9

=> 63x + 36 = 64x + 32

=> x = 4

So the numbers are:

1. 7x = 7*4 = 28

2. 8x = 8*4 = 32