Question

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

Answer 1

Answer:

Let Rahul's age = 5x

Let Haroon's age = 7x

A/Q (5x+4)+(7x+4) = 56

5x+7x+8 = 56

12x = 48

x = 4

Rahul's age = 5x = 5x4 = 20 years

Haroon's age = 7x = 7x4 = 28 years

Answer 2

Answer:

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