SOLUTION: sherry is two years younger than sara, the sum of their ages is 46. How old is Sherry? How old is Sara??

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Question 661686: sherry is two years younger than sara, the sum of their ages is 46. How old is Sherry? How old is Sara??
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Sherry's age be x and Sara's age y
if Sherry is two years younger than Sara, than y=x%2B2

if the sum of their ages is 46, than x%2By=46
solution:
x%2By=46,,,substitute y=x%2B2
x%2Bx%2B2=46
2x=46-2
2x=44
x=22...........Sherry's age
y=x%2B2
y=22%2B2
y=24...........Sara's age