Question

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Witch could be used to find Hannah's age, h if she is the older sibling?

Answer 1

The equation to find Hannah's age is 2h - 2 = 92.

This yields Hannah's age as 47 years.

Explanation:

Let h = Hannah's age.

Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age = h-2.

The sum of their ages is 92, therefore

h + (h-2) = 92

2h - 2 = 92

2h = 94

h = 47 years