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  • 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


  • Linear Equation problems


    Search Results


    • 1. 
      If the numerator of a fraction is increased by 200% and the denominator is increased by 200% then resultant fraction is 14/5.What is the original fraction?

    • Options
    • A. 4/7
    • B. 13/12
    • C. 11/12
    • D. None of these
    • Discuss
    • 2. 
      A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is the number?

    • Options
    • A. 3.5
    • B. 6
    • C. 8
    • D. None of these
    • Discuss
    • 3. 
      A number of two digits has 3 for its unit's digit, and the sum of digits is 1/7 of the number itself, The number is

    • Options
    • A. 43
    • B. 53
    • C. 63
    • D. 73
    • Discuss
    • 4. 
      The ratio of two numbers is 4:7. If each of those numbers increased by 30, their ratio will become 5:8 . What is the average of these two numbers?

    • Options
    • A. 135
    • B. 145
    • C. 155
    • D. 165
    • Discuss
    • 5. 
      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
    • Discuss
    • 6. 
      Joel purchased 40 notebooks at the rate of ?18 per notebook and 55 pencils at the rate of ? 8 per pencil. What is the total amount that he paid to the shopkeeper?

    • Options
    • A. ?1,165
    • B. ?1,160
    • C. ?1,166
    • D. ?1,161
    • Discuss
    • 7. 
      Divide 50 into two parts so that the sum of their reciprocals is 1/2.

    • Options
    • A. 28,22
    • B. 35,15
    • C. 20,30
    • D. 24,36
    • Discuss
    • 8. 
      The linear equation such that each point on its graph has an ordinate four times its abscissa is :

    • Options
    • A. y + 4x = 0
    • B. y = 4x
    • C. x = 4y
    • D. x + 4y = o
    • Discuss
    • 9. 
      The cost of 2 sarees and 4 shirts is ? 16000 while 1 saree and 6 shirts cost the same. The cost of 12 shirts is

    • Options
    • A. ? 12000
    • B. ? 24000
    • C. ? 48000
    • D. Cannot be determined
    • Discuss
    • 10. 
      The system of equations 3x + y - 4 = 0 and 6x + 2y - 8 = 0 has

    • Options
    • A. a unique solution x = 1 , y = 1
    • B. a unique solution x = 0, y = 4
    • C. no solution
    • D. infinite solutions
    • Discuss


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