Question

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

Answer 1

h + (h - 2) = 92


Note: because both of their ages are odd, you must subtract 2 (for example: 31, 29, you skip 30, or x - 1)

h + h - 2 = 92

2h - 2 (+2) = 92 (+2)

2h = 94

2h/2 = 94/2

h = 94/2

h = 47

Hannah is the older sibling, or she is 47, while her brother is 45


hope this helps

Answer 2

Let x and y represent Hannah's and Anthony's ages respectively.

y = x + 2, since these ages are consecutive odd integers.  

Then x + y = x + x + 2 = 2x + 2 = 92, where x = h = Hannah's age.

Then 2x = 90, and x = 45.  Hannah is 45 years old and Anthony is 47.