Question

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

Answer 1

`\boxed{2h - 2 = 94}\\`

Explanation:

Let h = Hannah's age

and a = Anthony's age then

`\begin{array}{lrcll}(1) & h & = & a + 2& \\(2) & h+ a & = &92 &\\(3) & h - 2 & = & a & \text{Subtracted 2 from each side of (1)}\\ & h + h - 2 & = & 92 & \text{Substituted (3) into (2)}\\ & 2h - 2 & = & 94 & \text {Combined like terms }\\\end{array}`

An equation that you could use to find Hannah's age is

`\boxed{2h - 2 = 94}\\`