Question

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

Answer 1

Let eight consecutive odd numbers be
a, a + 2 ....... a + 14

and four consecutive over numbers be
b, b + 2, 2, b + 14, b + 16

Given (a) + (a + 2), ...... +(a + 14) = 656
8a + 56 = 656
a = 75

Also given,

(b) + (b + 2) + (b + 4) + (b + 6) = 87 $\times$ 4
4b + 12 = 348
b = 84

Sum of smallest odd no. (a) and second largest even no. (b + 4) will be

= (a) + (b + 4)
= 75 +(84 + 4)
= 163