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      Question

      Two positive numbers differ by 1280. When the greater

      number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:
      A 1558 Correct Answer Incorrect Answer
      B 1458 Correct Answer Incorrect Answer
      C 1585 Correct Answer Incorrect Answer
      D 1485 Correct Answer Incorrect Answer

      Solution

      Let greater number = a and Smaller number = b From question, ⇒ a - b = 1280 ....(1) Again from question, ⇒ a = 7b + 50 ....(2) Put the value of a from equation (2) into equation (1) ⇒ 7b + 50 - b = 1280 ⇒ 6b = 1280 - 50 ⇒ 6b = 1230 ⇒ b = (1230/6) ⇒ b = 205 Put the value of b in equation (1) ⇒ a - 205 = 1280 ⇒ a = 1280 + 205 ⇒ a = 1485 ⇒ Greater number = 1485

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