Multiple Choice Questions on Mayank said to his friend ldquo If you subtract 18 from my age the two digits of my age will reverse........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Mayank said to his friend ldquo If you subtract 18 from my age the two digits of my age will reverse...........

Quant (SSC) Problems based on Ages
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    Mayank said to his friend “If you subtract 18 from my age the two digits of my age will reverse their positions. Also my age is six less than 8 times the sum of digits of my age”. Find Mayank's age.

    46 years

    Incorrect Answer

    37 years

    Incorrect Answer

    50 years

    Incorrect Answer

    42 years

    Correct Answer
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    Explanation:
    Let Mayank's age be (10x + y) years
    Age by reversing the digits = (10y + x) yrs
    Now, 10x + y − 18= 10y + x
    9x – 9y = 18
    x – y = 2..................(1)
    Also,
    10x+y = 8(x+y) – 6
    2x – 7y = –6..........… (2)
    Solving equations (1) and (2),
    x = 4 , y = 2
    Therefore, Mayank's age = 10x + y
    = 10(4) + 2
    = 42 years

    By: Amit Kumar
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