[35 years] The ages of Rahul and Karan are in the ratio 7:5. Ten years hence, the ratios of their ages will be

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The ages of Rahul and Karan are in the ratio 7:5. Ten years hence, the ratios of their ages will be 9:7. Find Rahul present age?

25 years

45 years

24 years

35 years

Explanation:
Let Rahul's and Karan's age be 7x and 5x respectively.
After 10 yrs, their ages are 7x + 10, 5x + 10 respectively.
As per the given condition, Ratio after 10 years is 9:7
So, $\dfrac{7x+10}{5x+10}=\dfrac{9}{7}$
Cross Multiplying, we get
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 5
Therefore,
Rahul's age = 7 × 5 = 35 years

Additional Questions

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