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Home Aptitude Elementary Algebra See What Others Are Saying!
  • Question
  • The sum of two numbers is 24 and their product is 143. The sum of their squares is


  • Options
  • A. 296
  • B. 295
  • C. 290
  • D. 228

  • Correct Answer
  • 290 

    Explanation

    Let the two numbers be P and Q.
    According to given question,
    Sum of two numbers = 24
    ? P + Q = 24 ...................... (1)
    Product of two numbers = 143
    and, PQ = 143 .......................... (2)
    As we know the formula,
    ? P 2 + Q2 = (P + Q)2 ? 2PQ
    Put the value from the equation (1) and (2), We will get
    ? P 2 + Q2 = (24)2 ? 2 × 143
    ? P 2 + Q2 = 576 ? 286 = 290


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