Multiple choice

Barack got married 7 years ago. His present age is 5/4 times his age at the time of his marriage. Barack's sister was 7 years younger to him at the time of his marriage. The sum of the present ages of Barack and his sister is equal to his mother's age. Find the present age of Barack's mother.

  1. 56

  2. 63

  3. 70

  4. 77
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B Correct answer
Explanation

Let B be Barack's age at marriage. His present age is B+7. We are given B+7 = (5/4)B, so 7 = B/4, B = 28. His present age is 35. His sister was 7 years younger at marriage, so she was 21 at marriage, and is 28 now. Mother's age = 35 + 28 = 63.

AI explanation

Let Barack's age at the time of his marriage be 4x, making his present age 5x after 7 years. This means 4x + 7 = 5x, so his present age is 5x = 35. His sister was 7 years younger at the marriage, making her present age 35 - 7 = 28. The sum of their present ages is 35 + 28 = 63, which gives the mother's present age.

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