SOLUTION: Sam is 6 year older than his sister Anna. Maria, Sam's mother, is three times Sam's age. The sum of their ages is 44 years.How old is each person?

Question 1044608: Sam is 6 year older than his sister Anna. Maria, Sam's mother, is three times Sam's age. The sum of their ages is 44 years.How old is each person?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make Anna's age = 'x'
Sam's age = x + 6 (6 years older than Anna)
Mother's age = 3(x+ 6)(3 times Sam's age)
Add up
(x) + (x + 6) + 3(x + 6) = 44
x + x + 6 + 3x + 18 = 44
Collect like terms:
x + x + 3x = 44 - 18 -6
5x = 20
x = 4
Anna is 4 years old
Sam is 10 years old
Mother is 30 years old.
Hope this helps :-)
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