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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

    More questions

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      Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :

    • Options
    • A. gains Rs. 55
    • B. gains Rs. 50
    • C. loses Rs. 30
    • D. gains Rs. 30
    • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
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    • 3. 
      The shaded region represents

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    • A. y ? x
    • B. y ? ? x
    • C. y ? x
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    • 4. 
      45 x? = 25% of 900

    • Options
    • A. 16.20
    • B. 4
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    • D. 500
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    • 5. 
      Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?

    • Options
    • A. ? 7500
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    • C. ? 8000
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    • 6. 
      In which of the following cases, A = B?

    • Options
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    • B. A = ?, b = {}
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    • D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
    • Discuss
    • 7. 10, 25, 45, 54, 60, 75, 80

    • Options
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    • B. 45
    • C. 54
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    • 8. 
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    • 10. 
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