Question:easy

The ratio of the present ages of father and son is 6 : 1. What is the present age of the son?

Statement (1): The ratio of the ages of father and son after 5 years is 7 : 2.

Statement (2): The difference of their present ages is 25 years.

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Set father = 6x and son = x, then check whether each statement by itself gives you a single equation you can solve for x.

Updated On: Jul 20, 2026
  • If the data in statement (1) alone is sufficient to answer the question, but the data in statement (2) alone is not sufficient.
  • If the data in statement (2) alone is sufficient to answer the question, but the data in statement (1) alone is not sufficient.
  • If the data in both the statements together are needed to answer the question.
  • If either statement (1) alone or statement (2) alone is sufficient to answer the question.
  • If the data in neither statement (1) nor statement (2) is sufficient to answer the question, and more data is needed.
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The Correct Option is D

Solution and Explanation

Since father and son are always in ratio $6:1$, write father $=6x$ and son $=x$ at any point in time.

Statement (1) route: five years from now the ratio becomes $7:2$, so $\frac{6x+5}{x+5}=\frac{7}{2}$. Solving: $12x+10=7x+35 \Rightarrow 5x=25 \Rightarrow x=5$. Only one valid value of $x$ emerges, so the son's present age, $5$ years, is fully determined — sufficient by itself.

Statement (2) route: the gap between their present ages, $6x-x=5x$, equals $25$, so $x=5$ directly. Again a single determined value — sufficient by itself.

Both statements independently nail down $x=5$, meaning the son is $5$ years old whichever piece of information you use. Since each one alone is enough, the answer is option (4).

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