The ages of Rahul and Haroon are in ratio 7:5. Four year later the sum of their ages will be 56 years. Find their present ages.

Let r = Rahul's age and h = Haroon's age. Then:-

r = 1.4h (because 7/5 = 1.4)

r + 4 + h + 4 = 56

r + h = 48

Substituting r = 1.4h:-

1.4h + h = 48

h = 48 / 2.4 = 20

and r = 48 - h = 48 - 20 = 28

So answer is Rahul is 28 and Haroon is 20 years old at the present time.

A : x/y = 7/5

then "

A : x = 7y / 5

B : x + 4 + y + 4 = 56

then "

B : x = 48 - y

from A & B "

7y / 5 = 48 - y

7y = 240 - 5y

12y = 240

y = 20

from A,

x / y = 7 / 5

x / 20 = 7 / 5

x = 28

hence,

rahul ' s age = x = 28

haroon ' s age = y = 20