Five times Carl's age plus three times Jill's age equals 110. Jill's age is also two times Carl's age. How old is Carla ?

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asked May 18, 2016 84.3k views

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Five times Carl's age plus three times Jill's age equals 110. Jill's age is also two times Carl's age. How old is Carla ?

Mathematics
high-school

Adrien Matissart asked

by Adrien Matissart

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x - Carl's age
y - Jill's age

$5x+3y=110 \\ y=2x \ \ \ |* (-3) \\ \\ 5x+3y=110 \\ \underline{-3y=-6x} \\ 5x+3y-3y=110-6x \\ 5x=110-6x \\ 5x+6x=110 \\ 11x=110 \\ x=10$

Carl is 10 years old.

De answered May 21, 2016

by De

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