The sum of three consecutive even numbers is 72. What is the smallest number?
(A) 22(C) 30(B) 24(D) 28
Solution
The first three consecutive Even numbers are
2n,2n+2 and 2n+4
The sum of all three consecutive Even numbers is
2n+2n+2+2n+4=72
6n+6=72
6n=72-6
6n=66
n=11
From above three even numbers the smallest number is is 2n
So the smallest even number=2×11
22
Hence the smallest even number is 22
The correct option is A
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