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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number?


  • Options
  • A. 72
  • B. 56
  • C. 54
  • D. Cannot be determined

  • Correct Answer
  • 54 

    Explanation

    Let the number be 10x + y where x > y
    According to the question.
    x + y = 15 ............(1)
    and x - y = 3 .........(2)
    Add the Equation (1) and (2) , We will get
    x + y + x - y = 15 + 3
    ? 2x = 18
    ? x = 9
    Put the value of x in equation (1). We will get
    9 + y = 15
    ? y = 15 - 9
    ? y = 6
    So we have digits of number x = 9, y = 6
    ? x * y = 9 * 6 = 54


  • More questions

    • 1. 
      ?. x 2 ? 6x = 7
      ?. 2y 2 + 13y + 15 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.

    • Options
    • A. U
    • B. A
    • C. ?
    • D. None of these
    • Discuss
    • 3. 
      Mukul's income is 10% more than Sunil's. How much less is Sunil's income than that of Mukul's?

    • Options
    • A. 8.09 %
    • B. 9.09 %
    • C. 7.09 %
    • D. 7.90 %
    • Discuss
    • 4. 3, 7, 15, 39, 63, 127, 255, 511

    • Options
    • A. 7
    • B. 15
    • C. 39
    • D. 63
    • E. 127
    • Discuss
    • 5. 19, 26, 33, 46, 59, 74, 91

    • Options
    • A. 26
    • B. 33
    • C. 46
    • D. 59
    • E. 74
    • Discuss
    • 6. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

    • Options
    • A. 2
    • B. 5
    • C. 6
    • D. 7
    • E. None of these
    • Discuss
    • 7. 6, 13, 18, 25, 30, 37, 40

    • Options
    • A. 25
    • B. 30
    • C. 37
    • D. 40
    • Discuss
    • 8. 
      The true discount on a certain bill due for nine months at 4 % simple interest is ?150. Find the amount of the bill.

    • Options
    • A. ?5150
    • B. ?5250
    • C. ?4750
    • D. ?5650
    • Discuss
    • 9. 
      The present worth of $ 220.50 due in 2 years reckoning compound interest at 5 % is :

    • Options
    • A. $ 200
    • B. $ 197.5
    • C. $ 202
    • D. $ 192.25
    • Discuss
    • 10. 
      The value of 12x2y4z3 ÷ (2xy2 × 3yz2) will be :

    • Options
    • A. 2xyz
    • B. xyz
    • C. 1 xyz
    • D. 2 xyz
    • Discuss


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