Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to
Options:
A . 3.5
B . 2.5
C . 3
D . 2
Answer: Option C Answer: (c)Using Rule 1, Numbers in order ⇒ a, b and c ∴ a + b = 2 × 2 = 4 b + c = 2 × 3 = 6 c + a = 2 × 4 = 8 On adding, 2 (a + b + c) = 4 + 6 + 8 = 18 ⇒ a + b + c = $18/2$ = 9 ∴ Required average =$9/3$ = 3
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