Question

Two numbers are in the ratio 3/2:8/3.when each of these is increased by 15,they become in the ratio 5/3:5/2.find the greater number

Answer 1

Hope it helps you
Please mark me as the
Brainliest

Answer 2

The greater number is 400/7

1) Let the numbers be x and y.

2) ratio of x and y = 3/2 :8/3 i.e.

x/y = (3/2)/(8/3) = 9/16

16/9x = y

3) Increasing each number by 15 , ratio becomes 5/3:5/2

x+15/y+15  = (5/3)/(5/2) = 2/3

3x+45 = 2y+30 or x +15 = y

4) Substituting the value of y from the first equation, x+15 = 16/9x

16/9x - x = 25

7/9x = 25 , x= 225/7

5) Value of y would be 16/9*225/7

y = 400/7