What will be the Third Number? If

Of the three numbers, the first is twice the second and is also thrice the third. The average of the numbers is 88. The difference between the first and the third number is

  1. 72
  2. 48
  3. 24
  4. 96
Monis Rasool Professor Asked on 10th November 2015 in Maths.
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  • 1 Answer(s)

    Answer is 72

    Explanation:- 
    Let the first number be X and second number be Y
    According to the question, 
    the first is twice of the second and is also thrice the third,
    Then, the first number = 3 X and 3 X = 2 Y

    The average of the numbers = 88
    Then, the sum of the numbers = 3 x 88
     = 264
    Then, 3 X + 3 X/2 + X = 264
     (6 X + 3 X + 2 X ) = 2 x 264
     11 X = 2 x 264
     X =  2 x 24
    X = 48
     Then, third number = 3 X = 3 x 48
     = 144

    So, the difference between the first number and the third number = 144 – 48 
     = 72

    Hence, the answer is (1) 72.

    Monis Rasool Professor Answered on 10th November 2015.
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