The ratio of ages of Suraj and Mohan 4 years ago was 7: 8 and after 5 years from now, their ratio will become 10: 11. Find the present age of Suraj.

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

The ratio of ages of Suraj and Mohan 4 years ago was 7: 8 and after 5 years from now, their ratio will become 10: 11. Find the present age of Suraj.

A24 years

B25 years

C28 years

D21 years

Akhilesh ? Mar 30 '25 at 21:39

correct answer is: 25 years
Explanation: Let the present ages of Suraj and Mohan be \( S \) and \( M \) respectively.

Four years ago, their ages were in the ratio 7:8, leading to the equation \( \frac{S-4}{M-4} = \frac{7}{8} \)

After five years, their ages will be in the ratio 10:11, giving \( \frac{S+5}{M+5} = \frac{10}{11} \)

Solving these equations simultaneously yields \( S = 25 \) years.

• OPTION a (24 years): Does not satisfy the given ratios.
• OPTION b (25 years): Satisfies both the past and future age ratios.
• OPTION c (28 years): Does not satisfy the given ratios.
• OPTION d (21 years): Does not satisfy the given ratios.

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correct answer is: 25 years Explanation: Let the present ages of Suraj and Mohan be \( S \) and \( M \) respectively. Four years ago, their ages were in the ratio 7:8, leading to the equation \( \frac{S-4}{M-4} = \frac{7}{8} \) After five years, their ages will be in the ratio 10:11, giving \( \frac{S+5}{M+5} = \frac{10}{11} \) Solving these equations simultaneously yields \( S = 25 \) years. OPTION a (24 years): Does not satisfy the given ratios. OPTION b (25 years): Satisfies both the past and future age ratios. OPTION c (28 years): Does not satisfy the given ratios. OPTION d (21 years): Does not satisfy the given ratios. Akhilesh ? answered Mar 30 '25 at 21:39

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