Question

Caroline is the youngest of four siblings whose ages are consecutive odd integers. If the sum of their ages is 9696, find Caroline's age.

Answer 1

2421 or 21

Explanation:

Hello!

Consecutive odd integers are set of odd integers that come right after each other.

Let "C" be Caroline's age. Caroline's next older sibling would be C + 2, as odd integers come to every two numbers, and the next would be C + 4, and finally C + 6.

If we add up all the expressions, we should get 9696.

Solve for C

• C + C + 2 + C + 4 + C + 6 = 9696
• 4C + 12 = 9696
• 4C = 9684
• C = 2421

The solution to this question does not seem reasonable. I assume that the correct sum of the age should be 96, given 9696.

If this is the case, then Caroline's age would be 21, using the same general logic.