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1. A, B, C, D and E are five consecutive odd numbers. The sum of A and C is 146. What is the value of E ?

A. 71

B. 75

C. 79

D. 81

Solution:

Let A = x
B = x + 2
C = x + 4
D = x + 6 and
E = x + 8
Then,

\begin{aligned} \Rightarrow A + C = 146 \\ \Rightarrow x + (x + 4) = 146 \\ \Rightarrow 2 x = 142 \\ \Rightarrow x = 71 \\ ∴ E = x + 8 \\ = 71 + 8 \\ = 79 \end{aligned}

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