Question

the age of rahul and haroon are i the ratio 5:7 four years from now sum of their ages will be 56 years find the present age

Answer 1

let rahuls age be 5x
and haroons age be 7x
four years from now their ages will be 5x+4 and 7x+4 respectively
sum of their age is said to be 56 . so,
5x+4 +7x+4=56
12x+8=56
12x=48
x=4

Answer 2

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

Therefore, age of Rahul and Haroon will be 5x years 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 year

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


hope it will help you..