Multiple choice

Simma's brother is 7 years younger than Rajni's sister. Rajni's sister will be twice as old as Simma's brother after four years. Find the present age of Simma's brother.

  1. 3 years

  2. 5 years

  3. 6 years

  4. 8 years

  5. 10 years
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A Correct answer
Explanation

Let S be Simma's brother's age and R be Rajni's sister's age. S = R - 7. (R + 4) = 2(S + 4). Substitute R = S + 7: (S + 7 + 4) = 2S + 8. S + 11 = 2S + 8. S = 3.

AI explanation

Let Simma's brother be x years old and Rajni's sister be y years old. Given that Simma's brother is 7 years younger than Rajni's sister, we have y = x + 7. The second condition states that after four years, Rajni's sister will be twice as old as Simma's brother, giving the equation y + 4 = 2(x + 4). Substituting the first equation into the second gives x + 7 + 4 = 2x + 8, which simplifies to x + 11 = 2x + 8. Solving for x, we find that the present age of Simma's brother is 3 years.

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