Question

The ages of rahul and haroon are in ratio 5:7 four years later the sum of their ages will be 56 years. What are their present ages?

Answer 1

let their respective ages be 5x and 7x
four years later
Rahul's age=5x+4
Harmon's =7x+4
sum=12x+8=56
12x=48
x=4
ages =20,28

Answer 2

Answer:

$\huge \mathbb \color{blue}{ANSWER \implies}$

Let the present ages of Rahul and Haroon he 5x years and 7x years respectively.

4 years later, the age of Rahul will be (5x + 4) years.

4 years later, the age of Haroon will be (7x + 4) years.

As per the conditions, we get

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

⇒ 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 – 8 (transposing 8 to RHS)

⇒ 12x = 48

⇒ x = 48 ÷ 12 = 4 (transposing 12 to RHS)

Hence, the required age of Rahul = 5 × 4 = 20 years.

and the required age of Haroon = 7 × 4 = 28 years.

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