SOLUTION: Carol is 15 years older than her sister amanda.Mike is two times as old as amanda.the sum of their ages is 35. How old is carol? My atempt was: amanda;a+15=35

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Question 829765: Carol is 15 years older than her sister amanda.Mike is two times as old as amanda.the sum of their ages is 35. How old is carol?

My atempt was: amanda;a+15=35
carol;a
mike;2a
then i subtracted 15 from 35 and got 20=3a because i added amanda,mike and carol's a. im stuck after here i dont know what to do.
Found 2 solutions by KMST, MathLover1:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
a= Amanda's age
a%2B15= Carol's age (because Carol is 15 years older than Amanda)
2a= Mike's age (because Mike is two times as old as Amanda)

The equation to solve is
a%2B%28a%2B15%29%2B%282a%29=35

Solving:
a%2B%28a%2B15%29%2B%282a%29=35
a%2Ba%2B15%2B2a=35
a%2Ba%2B2a%2B15=35%7D%7D%0D%0A%7B%7B%7B4a%2B15=35
4a=35-15
4a=20
a=20%2F4
a=5 , so
a%2B15=5%2B15
a%2B15=highlight%2820%29
Carol is highlight%2820%29 years old.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Carol is 15 years older than her sister Amanda;

Carol=Amanda+%2B15......eq.1
Mike is two times as old as Amanda.

Mike=2%2AAmanda............eq.2
the sum of their ages is 35:
Carol%2B+Amanda%2B+Mike=35.............eq.3....substitute Carol from eq.1 and Mike from eq.2

Amanda+%2B15%2B+Amanda%2B+2%2AAmanda=35 .............solve for Amanda

+4%2AAmanda=35-15
+4%2AAmanda=20
+Amanda=20%2F4
+highlight%28Amanda=5%29

How old is carol? go to Carol=Amanda+%2B15......eq.1 plug in +highlight%28Amanda=5%29
Carol=5+%2B15
highlight%28Carol=20%29
and go to Mike=2%2AAmanda ............eq.2 plug in +highlight%28Amanda=5%29
Mike=2%2A5
highlight%28Mike=10%29