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  • Question
  • The ratio of the present ages of a mother and daughter is 7:1 . Four years ago the ratio of their ages was 19:1 . What will be the mother's age four years from now?


  • Options
  • A. 42 years
  • B. 38 years
  • C. 46 years
  • D. 36 years

  • Correct Answer
  • 46 years 

    Explanation

    Method 1
    Let us assume the present age of mother be M and daughter be D.
    According to question,
    Ratio of present age of mother and daughter = 7 : 1
    M / D = 7 : 1
    ? M / D = 7 / 1
    ? M / D = 7
    ? M = 7D ..........................(1)
    Four years ago the age of mother = M - 4
    Four years ago the age of daughter = D - 4
    Again according to question,
    Four years ago ratio of mother age and daughter age = 19 : 1
    ? (M - 4 ) / (D - 4) = 19 : 1
    ? (M - 4 ) / (D - 4) = 19
    ? (M - 4 ) = 19(D - 4)
    ? M - 4 = 19D - 76 .....................(2)
    Put the value of M from equation (1) in above equation (2), we will get
    7D - 4 = 19D - 76
    ? 76 - 4 = 19D - 7D
    ? 72 = 12D
    ? 12D = 72
    ? D = 72/12
    ? D = 6
    Put the vale of D in equation (1), we will get the present age of mother.
    Present age of Mother M = 7D = 7 x 6
    Present age of Mother M = 42
    ? mother's age after 4 yrs = 42 + 4 = 46 yrs

    Method 2
    Let us assume the ratio factor is x.
    According to question,
    Ratio of present age of mother and daughter = 7 : 1
    Then present age of mother = 7x and present age of daughter = x
    Four years ago the age of mother = 7x - 4
    Four years ago the age of daughter = x - 4
    Again according to question,
    Four years ago ratio of mother age and daughter age = 19 : 1
    ? (7x - 4 ) / (x - 4) = 19 : 1
    ? (7x - 4 ) / (x - 4) = 19
    ? (7x - 4 ) = 19(x - 4)
    ? 7x - 4 = 19x - 76
    ? 76 - 4 = 19x - 7x
    ? 72 = 12x
    ? 12x = 72
    ? x = 6
    Present age of Mother = 7x = 7 x 6 = 42
    ? mother's age after 4 yrs = 42 + 4 = 46 yrs


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. 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
    • 4. 
      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
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      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
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      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
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


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