There are three numbers such that when the average of any of the two numbers is added with the third number, sum obtained will be 130, 142 and 154. Find the average of all three numbers.
Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 130 × 2 = 260……………..(1) (a + 2b + c) = 142 × 2 = 284……………..(2) (2a + b + c) = 154 × 2 = 308……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 852 a + b + c = 213 (a + b + c)/3 = 71
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