SOLUTION: maria is 3 years older than her brother, luis. luis is 2 years older than their younger sister, karla. the sum of their ages is 55. how old are the siblings?

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Question 346221: maria is 3 years older than her brother, luis. luis is 2 years older than their younger sister, karla. the sum of their ages is 55. how old are the siblings?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.M=3%2BL
2.L=K%2B2
3.M%2BL%2BK=55
Substitute eq. 1 and eq. 2 into eq. 3,
3%2BL%2BK%2B2%2BK=55
3%2BK%2B2%2BK%2B2%2BK=55
3K%2B7=55
3K=48
highlight%28+K=16%29
Then from eq. 2,
L=16%2B2
highlight%28+L=18%29
Then from eq. 1,
M=3%2B18
highlight%28+M=21%29
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Maria is 21, Luis is 18, and Karla is 16.