SOLUTION: steven is 13 years older than his sister sarah. together they are 28 years old. how old is steven and how old is sarah? pleaseeee help me i need this done for my math summer hom

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Question 624555: steven is 13 years older than his sister sarah. together they are 28 years old. how old is steven and how old is sarah?
pleaseeee help me i need this done for my math summer homework! im going into sixth grade! please help and thank you!
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the girl's age, and then her brother must be years old.



Solve for , then calculate

John

My calculator said it, I believe it, that settles it
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Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Steven's age
Let = Sarah's age
given:
(1)
(2)
---------------
Substitute (1) into (2)
(2)
(2)
Subtract from both sides
(2)
(2)
(2)
and, since
(1)
(1)
(1)
Steven is 20 yrs 6 mos old
Sarah is 7 yrs 6 mos old
check answer:
Do ages add up to ?
Is the difference ?
Yes
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