Question

the ages of reshma and Ravi are in the ratio 7:5 . ten years hence the ratio of their ages will be 9:7 . find their present ages ​

Answer 1

Answer:

The ages of A and B are in ratio of 7:5, 10 year hence the ratio of their

ages will be 9:7, find their present ages

:

The easy way to do this is by using a "multiplier"

let x = the multiplier

then

7x = A's present age

and

5x = B's present age

:

Adding 10 yrs to their age produces a ratio of 9:7, there

%28%287x%2B10%29%29%2F%28%285x%2B10%29%29 = 9%2F7

cross multiply

7(7x+10) = 9(5x+10)

49x + 70 = 45x + 90

49x - 45x = 90 - 70

4x = 20

x = 20/4

x = 5 is the multiplier

:

Their present ages

A: 5(7) = 35 yrs

B: 5(5) = 25 yrs

:

:

You can check this for yourself, add 10 yrs to their ages and find the ratio