Multiple Choice Questions on The age of a woman is a two digit integer On reversing this integer the new integer is the age of he........... for CDS Exam Preparation

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Multiple Choice Questions

The age of a woman is a two digit integer On reversing this integer the new integer is the age of he...........

Quantitative Aptitude (CDS) Problems based on Ages
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    The age of a woman is a two-digit integer. On reversing this integer, the new integer is the age of her husband who is elder to her. The difference between their ages is one-eleventh of their sum. What is the difference between their ages?

     

    8 years

    Incorrect Answer

    9 years

    Correct Answer

    10 years

    Incorrect Answer

    11 years

    Incorrect Answer
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    Explanation:

    Let the age of women = 10x + y

    The age of husband = 10y +x

    According to question (10y+x) – (10x +y) = 1/11 (10x+y+10y+x)

    9y-9x = 1/11 (11x+11y)

    9y - 9x = x + y ……(a)

    8y = 10x

    x = 8y/10

    x= 4/5 y

    Difference of their ages 9y - 9x = 4y/5 +y

    9y - 9x = 9y/5

    So, the difference of their ages is multiple of 9.

    By: Munesh Kumari
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