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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. 
      A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 10
    • Discuss
    • 2. 
      A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

    • Options
    • A. 24 meters
    • B. 40 meters
    • C. 28 meters
    • D. 14 meters
    • Discuss
    • 3. 25, 36, 49, 81, 121, 169, 225

    • Options
    • A. 36
    • B. 49
    • C. 121
    • D. 169
    • Discuss
    • 4. 
      (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?

    • Options
    • A. 1.28
    • B. 0.976
    • C. 12.8
    • D. 9.76
    • Discuss
    • 5. 
      Einstein goes from Ahmedabad To Lucknow at the speed of 40 km/hr and returned at the speed of 60 km/hr .the average speed of Einstein during the whole journey is

    • Options
    • A. 48 km/hr
    • B. 24 km/hr
    • C. 50 km/hr
    • D. none of these
    • Discuss
    • 6. 
      Today is Monday. After 61 days, it will be

    • Options
    • A. Wednesday
    • B. Saturday
    • C. Tuesday
    • D. Thursday
    • Discuss
    • 7. 9548 + 7314 = 8362 + (?)

    • Options
    • A. 8230
    • B. 8410
    • C. 8500
    • D. 8600
    • E. None of these
    • Discuss
    • 8. 
      The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?

    • Options
    • A. ? 400
    • B. ? 212
    • C. ? 312
    • D. ? 445
    • Discuss
    • 9. 
      Calendar of month July is same as that of which month of previous year.

    • Options
    • A. May
    • B. September
    • C. April
    • D. None of these
    • Discuss
    • 10. 
      A coin is successively tossed two times. Find the probability of getting? (1) exactly one head (2)at least one head

    • Options
    • A. 1/2 , 3/4
    • B. 2/3, 1/4
    • C. 1/4, 4/5
    • D. 1/2, 2/3
    • Discuss


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