Question

The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years’ time?​

Answer 1

Answer:

Let, their present ages be x and y respectively.

So, (x+y) = 24

Or, 4x +4y =96 - - - - (1)

And, (x-5)/(y-5)=3/4

Or, 4x-20=3y-15

Or, 4x - 3y =5——-(2)

Solving equations (1) and (2), we get - - -

4x +4y - 4x +3y =96-5=91

Or, 7y =91

Or, y =91/7=13

So, x =24–13=11

So,their present ages are 11 and 13 respectively.

After, 3 years, their ages will be 14 and 16 years

Hence, the ratio will be = 14:16=7:8 (answer)