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Answer :
Let the present ages of Rahul and Haroon he 5x years and 7x years respectively.
As per the conditions given we have
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
\(\Rightarrow\) 5x + 4 + 7x + 4 = 56
\(\Rightarrow\) 12x + 8 = 56
\(\Rightarrow\) 12x = 56 – 8 (transposing 8 to RHS)
\(\Rightarrow\) 12x = 48
\(\Rightarrow\) 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.