Three numbers are such that if the average of any two of them is added to the third number, the sums obtained are 168, 174 and 180 respectively. What is the average of the original three numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 87
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Understanding |
Application |
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Let numbers are a, b and c: Given (a + b)/2 + c = 168 (b + c)/2 + a = 174 (a + c)/2 + b = 180 |
Given equations can be converted as: a + b + 2c = 336 ---- (1) b + c + 2a = 348 ---- (2) c + a + 2b = 360 ---- (3) Adding all equations: 4(a + b + c) = 1044 (a + b + c) = 1044/4 = 261 Hence, Average = 261/3 = 87 |