Question

The age of Rahul and Haroon are in the ratio 5:7. Four years later the sum of ages will be 56 years. What are their present ages?​

Answer 1

Let the current age of Rahul and Haroon be 5x and 7x respectively

Four years later their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 gives,

x = 48/12 = 4

Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

Answer 2

Answer:

The ages of Rahul and Haroon are in the ratio 5:7

Let Rahul’s present age=5x

Haroon present age=7x

Four years later the sum of their ages will be 56 years. So according to the condition,

(5x+4)+(7x+4)=56

12x+8=56

12x=56–8

12x=48

x=48/12

x=4

Therefore Rahul’s present age =5*4=20years

Haroon’s present age=7*4=28years