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Question

Three natural numbers are given. If sum of average of any two numbers and the remaining third number is 56, 46 and 50 respectively, then find the sum of given three numbers.

A 70 Correct Answer Incorrect Answer
B 72 Correct Answer Incorrect Answer
C 74 Correct Answer Incorrect Answer
D 76 Correct Answer Incorrect Answer
E 78 Correct Answer Incorrect Answer

Solution

Let the three numbers are a, b and c. According to question, => (a + b)/2 + c = 56 ⇒ a + b + 2c = 112 ------ (i) => (b + c)/2 + a = 46 ⇒ b + c + 2a = 92 ------ (ii) => (c + a)/2 + b = 50 ⇒ c + a +2b = 100 ------ (iii) Add (i), (ii) and (iii) => 4(a + b+ c) = 304 ⇒ a + b + c = 304 /4 = 76

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