Question

    Umesh is thirteen years older than Sweta. Eight years

    ago, if Umesh was fourteen times as old as Sweta, then Umesh’s present age will be:
    A 20 years Correct Answer Incorrect Answer
    B 23 years Correct Answer Incorrect Answer
    C 21 years Correct Answer Incorrect Answer
    D 22 years Correct Answer Incorrect Answer

    Solution

    Let Sweta's present age be x. Then Umesh's present age = x + 13. Eight years ago: Sweta's age = x - 8 Umesh's age = x + 5 Given: x + 5 = 14(x - 8) ⇒ x + 5 = 14x - 112 ⇒ -13x = -117 ⇒ x = 9 So, Umesh's present age = x + 13 = 9 + 13 = 22

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