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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B?


  • Options
  • A. 27 Years
  • B. 75 Years
  • C. 45 Years
  • D. 49 Years

  • Correct Answer
  • 45 Years 

    Explanation

    The ratio of the ages of A and B is 3 : 5.
    The ratio of the ages of B and C is 3 : 5.

    B's age is the common link to both these ratio. Therefore, if we make the numerical value of the ratio of B's age in both the ratios same, then we can compare the ages of all 3 in a single ratio.

    The can be done by getting the value of B in both ratios to be the LCM of 3 and 5 i.e., 15.

    The first ratio between A and B will therefore be 9 : 15 and
    the second ratio between B and C will be 15 : 25.

    Now combining the two ratios, we get A : B : C = 9 : 15 : 25.

    Let their ages be 9x, 15x and 25x.
    Then, the sum of their ages will be 9x + 15x + 25x = 49x

    The question states that the sum of their ages is 147.
    i.e., 49x = 147 or x = 3.

    Therefore, B's age = 15x = 15*3 = 45

  • Tags: GRE

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      0.0169 / 0.013=?

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    • A. .13
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    • 2. 
      Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :

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    • A. x 2 ?2
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    • 3. 
      If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?

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    • 4. 
      What is 25% of 25% is equal to?

    • Options
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      The number .05 is hoe many percent of 20?

    • Options
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      .025 in terms of term of rate per cent is?

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    • Options
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