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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • One says "Give me a hundred friend ! I shall then become twice as rich as you ". The other replies, "If you give me ten, I shall be six times as rich as you." Find the amount of their capitals.


  • Options
  • A. ? 40, ? 170
  • B. ? 60, ? 180
  • C. ? 80, ? 200
  • D. Cannot be determined

  • Correct Answer
  • ? 40, ? 170 

    Explanation

    Let the capital of one is x and that of another is y .

    According to the question.
    x + 100 = 2(y - 100)
    x + 100 = 2y - 200
    or x - 2y = -300 ...(i)

    Again, according to the question
    y + 10 = 6(x - 10)
    ? y + 10 = 6x - 10
    ? 6x - y = 70 ..(ii)

    On multiplying Eq. (ii) by 2 and subtracting from Eq. (i) , we get
    x - 2y = -300
    12x - 2y = 140
    ----------------
    -11x = -440
    ? x = 40

    On putting the value of x in Eq. (i) , we get
    40 - 2y = -300
    ? 2y = 340
    ? y = 170
    So, their capital are ? 40 and ? 170.


  • More questions

    • 1. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

    • Options
    • A. 120 m
    • B. 240 m
    • C. 300 m
    • D. None of these
    • Discuss
    • 2. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

    • Options
    • A. 50 m
    • B. 72 m
    • C. 80 m
    • D. 82 m
    • Discuss
    • 3. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

    • Options
    • A. 9 a.m.
    • B. 10 a.m.
    • C. 10.30 a.m.
    • D. 11 a.m.
    • Discuss
    • 4. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 8
    • Discuss
    • 5. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

    • Options
    • A. 9 a.m.
    • B. 10 a.m.
    • C. 10.30 a.m.
    • D. 11 a.m.
    • Discuss
    • 6. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

    • Options
    • A. 40 sec
    • B. 42 sec
    • C. 45 sec
    • D. 48 sec
    • Discuss
    • 7. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

    • Options
    • A. 120 metres
    • B. 180 metres
    • C. 324 metres
    • D. 150 metres
    • Discuss
    • 8. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

    • Options
    • A. 30 km/hr
    • B. 45 km/hr
    • C. 60 km/hr
    • D. 75 km/hr
    • Discuss
    • 9. A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

    • Options
    • A. 400 m
    • B. 450 m
    • C. 560 m
    • D. 600 m
    • Discuss
    • 10. How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

    • Options
    • A. 25
    • B. 30
    • C. 40
    • D. 45
    • Discuss


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