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This year, Jake is 5 years older than his sister. Three years ago, Jake was twice his sister's age. How old is Jake's sister now?

Assign two variables and equations. Please solve.

User Noc
by
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1 Answer

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j=jakes agenow
s=sister's age now

j is 5 more than sister
j=5+s

3 years ago (j-3 and s-3)
jake was 2 times sister
(j-3)=2(s-3)
find s

distribute
2(s-3)=2s-6

now we have
j-3=2s-6
we have
j=5+s
subsitute that (subsitute 5+s for j)
5+s-3=2s-6
add like terms
s+2=2s-6
subtract s from both sides
2=s-6
add 6 to both sides
8=s
his sister is 8 yeasr old
User Olatunji
by
8.8k points
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