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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16-01-2015
Mathematics

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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 ?

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naǫ naǫ · Answer 1 · 2015-01-16T12:37:47-05:00

naǫ naǫ

16-01-2015

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

[tex]5x+3y=110 \\ y=2x \ \ \ |\times (-3) \\ \\ 5x+3y=110 \\ \underline{-3y=-6x} \\ 5x+3y-3y=110-6x \\ 5x=110-6x \\ 5x+6x=110 \\ 11x=110 \\ x=10[/tex]

Carl is 10 years old.

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