A, B, C, D and E are 5 consecutive even numbers. Average of A and E is – InterviewSolution

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A, B, C, D and E are 5 consecutive even numbers. Average of A and E is 46.What is the largest number?1). 522). 423). 504). 48

Answer»

Let the first even number A be = x + 2

Then E = (x + 10)

Average of A and E = 46

Largest number = $(\FRAC{{{\rm{x\;}} + {\rm{\;}}2{\rm{\;}} + {\rm{\;x\;}} + {\rm{\;}}10}}{2}{\rm{\;}} = {\rm{\;}}46)$

⇒ 2x + 12 = 92

⇒ x = 40

∴ E = x + 10 = 40 + 10 = 50.

Hence, 50 is the largest number.

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