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Question

Question 9
The ages of Rahul and Haro 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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Solution

Let the present ages of Rahul and Haroon be 5x years and 7x years respectively.
Four years later
age of Rahul = 5x + 4
age of Haro = 7x + 4
According to
condition, (5x+4)+(7x+4) =56
12x+8=5612x+88=568 [Subtracting 8 from both sides]
12x=4812x12=4812 [Dividing both sides by 12]
x=4
Hence, present age of Rahul =5 x 4=20 years and present age of Haro = 7 x 4=28 years.

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