Question

Choose what the expressions below best represent within the context of the word problem.

If Sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is Sarah?

x best represents .

x - 24 best represents .

Answer 1

well 68-24 is 44 so 22 is half of that, so if one is 22 and the other is 46 (22+24) than they add up to 68. 

Answer 2

x best represents mother's age.

x - 24 best represents Sarah's age.

Age of Sarah is 22

Explanation:

x best represents mother's age.

x - 24 best represents Sarah's age.

Sum of their ages is 68

That is

x + x -24 = 68

2x = 68 + 24

2x = 92

x = 46

Sarah's age = x -24 = 46 -24 = 22

x best represents mother's age.

x - 24 best represents Sarah's age.

Age of Sarah is 22