📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      If a, b and c are integers such that a 2  +

      b 2  + c 2  = 228, a + b + c = 26 and b = c, then find the value of a?
      A 6 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      We know, (a + b + c) 2  = a 2  + b 2  + c 2  + 2(ab + bc + ac)

      Then, 26 2  = 228 + 2(ab + b 2  + ab)

      224 = b(2a + b)

      And, a + b + b = 26

      a = 26 - 2b

      Now, 224 = b(2(26 - 2b) + b)

      b = 8, 28/3 (but b is an integer)

      Then, b = 8 = c

      Therefore, a = 26 - 2 * 8 = 10

      Practice Next
      More Algebra Questions
      ask-question