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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?

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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...
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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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Engineering graduate from NIT Calicut, Rank holder (#47) in State Entrance Examination.

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...
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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

 

 

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