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    Question

    In the year 2000, Monu was 3 times his sister’s age.

    In 2010, he was 24 years older than her. Find Monu’s age in 2010
    A 46 years Correct Answer Incorrect Answer
    B 52 years Correct Answer Incorrect Answer
    C 38 years Correct Answer Incorrect Answer
    D 62 years Correct Answer Incorrect Answer

    Solution

    From the first equation: M = 3S Substitute M in the second equation: 3S + 10 = S + 34 Simplify: ⇒ 3S + 10 = S + 34 ⇒ 3S - S = 34 - 10 ⇒ 2S = 24 ⇒ S = 12 Now, find M: ⇒ M = 3S ⇒ M = 3 × 12 ⇒ M = 36 Monu's age in 2010: ⇒ M + 10 = 36 + 10 ⇒ 46 years Monu's age in 2010 is 46 years.

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