The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

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The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

A165

B175

C163

DCannot be determined

Nithin K ? May 23 '2017 at 19:16

Answer is :  163

Explanation:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10+ x + 12 + x + 14 = 656

 8x + 56 = 656

 8x = 600

\( x = \frac{600}{8} = 75\)

and,

x + x + 2 + x + 4 + x + 6 = 87 × 4

\(=>4x + 12 = 348\)

\(=> 4x = 336\)

\(\implies x = \frac{336}{4} = 84\)

Required sum = 75 + (84 + 4) = 163

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Answer is :  163 Explanation: x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10+ x + 12 + x + 14 = 656  8x + 56 = 656  8x = 600 \( x = \frac{600}{8} = 75\) and, x + x + 2 + x + 4 + x + 6 = 87 × 4 \(=>4x + 12 = 348\) \(=> 4x = 336\) \(\implies x = \frac{336}{4} = 84\) Required sum = 75 + (84 + 4) = 163 Nithin K ? answered May 23 '2017 at 19:16 All Comments

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