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      Question

      Sum and difference of two natural numbers is 89 and 15.

      Find the square of sum of digits of smaller number.
      A 49 Correct Answer Incorrect Answer
      B 64 Correct Answer Incorrect Answer
      C 121 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer

      Solution

      Let the numbers be 'a' and 'b' (a > b)

      So, a + b = 89 --------- (I)

      Or, a - b = 15 ---------- (II)

      On adding equation I and II,

      We get, a + b + a - b = 89 + 15

      Or, 2a = 104

      Or, 'a' = 52

      On putting value of 'a' in equation I,

      52 + b = 89

      Or, 'b' = 37

      Required sum = (3 + 7) 2  = 100

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