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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

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
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    • C. -45
    • D. 60
    • Discuss


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