Question

Find five consecutive odd integers whose sum is 85.

Answer 1

The five consecutive odd integers whose sum will be 85 are 13, 15, 17, 19, and 21.

Explanation:

To solve this problem, let's assume the first number is n.

Then the consecutive odd integers will be n+2, n+4, n+6, n+8

Thus we can write,

n+(n+2)+(n+4)+(n+6)+(n+8) = 85

In the next step add all the n's,

5n+20 = 85

Then transfer '20' from LHS to RHS,

5n = 85 - 20

5n = 65

Then in the next step '5' needs to be transferred to RHS,

n = 65÷5

n = 13

Therefore, n = 13

n+2 = 15

n+4 = 17

n+6 = 19

n+8 = 21

Thus the five consecutive odd integers are 13, 15, 17, 19, and 21.

Answer 2

13+15+17+19+21 = 85

Explanation:

Hope you got it !