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Asked by Nalini Last Modified
Answer 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
x = 4
Rahul’s age = 5x years = (5 × 4) years = 20 years
Haroon’s age = 7x years = (7 × 4) years = 28 years
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since their ages are in the ratio 5:7, we can assume their present ages as follows
age of rahul=5k
age of haroon=7k
where k is an integer constant
4 year later,
age of rahul=5k+4
age of haroon=7k+4
5k+4+7k+4=56
12k+8=56
12k=56-8=48
k=48/12=4
age of rahul=5k=5*4=20
age of haroon=7k=7*4=28
read less
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