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      Question

      The ratio between two numbers is 2:3 and the sum of

      their squares is 2197. The numbers are:
      A 26 and 39 Correct Answer Incorrect Answer
      B 15 and 20 Correct Answer Incorrect Answer
      C 26 and 42 Correct Answer Incorrect Answer
      D 36 and 48 Correct Answer Incorrect Answer

      Solution

      Let the first number be 2x & other number be 3x
      Square of first number = (2x)2 = 4x2 & Square of other number = (3x)2 = 9x2
      According to question,
      Sum of the both numbers = 2197
      So, 4x2 + 9x2 = 2197
      13x2 = 2197
      x2 = 169
      x = 169 = 13
      Hence, First number 2x = 2 × 13 = 26 & Other number 3x = 3 × 13 = 39.

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