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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • If 2 a + 3 b = 17 and 2 a + 2 - 3 b +1 = 5, then


  • Options
  • A. a = 2, b = 3
  • B. a = -2, b = 3
  • C. a = 2, b = -3
  • D. a = 3, b = 2

  • Correct Answer
  • a = 3, b = 2 

    Explanation

    Given, 2a + 3b = 17
    and 2a + 2 - 3b + 1 = 5
    ? 22 x 22 - 3b x 31 = 5
    ? 4.2a - 3.3b = 5
    Let 2a = x amd 3b = y
    Then, x + y = 17 ...(i)
    4x - 3y = 5 ...(ii)
    On multiplying Eq. (i) by 3 and adding to Eq (ii), we get
    3x + 3y = 51
    4x - 3y = 5
    ------------------
    7x = 56
    ? x = 8

    On putting the value of x in Eq. (i), we get
    8 + y = 17
    ? y = 9

    Now, 2a = x
    ? 2a = 8 (2)3
    ? 3b = y = 9
    ? 3b = 32
    ? b = 2
    Hence, a = 3 and b = 2


  • 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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