Question

The age of rahul and haroon are in ratio 5:7. Four year later the sum of their ages will be 56 year. What are their present age

Answer 1

Let common ratio between Rahul’s age and Haroon’s age be x.

Therefore, age of Rahul and Haroon will be 5xyears and 7x years respectively. After 4 years, the age of Rahul and Haroon will be (5x + 4) years and (7x + 4) years respectively.

According to the given question, after 4 years, the sum of the ages of Rahul and Haroon is 56 years.

∴ (5x + 4 + 7x + 4) = 56

12x + 8 = 56

On transposing 8 to R.H.S, we obtain

12x = 56 − 8

12x = 48

On dividing both sides by 12, we obtain

12x/12=48/12

x = 4

Rahul’s age = 5x years = (5 × 4) years = 20 years

Haroon’s age = 7x years = (7 × 4) years = 28 years



hope it helped:)

Answer 2

Let Rahul be r a d Harmon be h
given
r/h = 5x/7x

hence r=5x and h= 7x
after 4 years
r=5x+4 and h=7x+4
r+h+8=56
12x+8=56
12x=48
x= 4
hence age of
Rahul=20
Harooz=28