Question

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

Answer 1

h = Hannah's age

h - 2 = Anthony's age

Hannah is 47, Anthony is 45

Explanation:

Using one variable and an expression with the same variable, you can find the sum of the siblings ages:

h = Hannah's age

h - 2 = Anthony's age

h + (h - 2) = 92

Combine like terms: 2h - 2 = 92

Add '2' to both sides: 2h - 2 + 2 = 92 + 2 or 2h = 94

Divide by 2: 2h/2 = 94/2

Solve for h: h = 47 years old (Hannah)

h - 2 = 45 years old (Anthony)