The sum of seven consecutive even numbers of a set is 532. What is the average of first four consecutive even numbers of the same set?

 a) 73
 b) 74
 c) 75
 d) 76


73.
Solution
Let the number be x.
, x + x +2 + x +4 + x +6 +x + 8 + x + 10 + x + 12 = 532
7x + 42 = 532 ==> x = 70 (first number)
Therefore, the seven consecutive even numbers are 70, 72, 74, 76, 78, 80, 82
So, the required average = (70 + 72 + 74 + 76)/4 = 292/4 = 73
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