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May 4, 2015

Homework Help: Algebra

Posted by Melissa on Saturday, December 23, 2006 at 5:58pm.

Mario is 16 years older than his sister Mercedes. Together, their ages total 36 years. How old is Mercedes?

Mercedes is 20 years old.

let x = Mario's age
y = Mercedes' age
======================
Mario is 16 years older than Mercedes; therefore, add 16 to Mercedes' age to get Mario's age. X = Y+16 is eqn 1.
eqn 2 is X + Y = 36
Solve the two equations simultaneously. 20 is not the right age for Mercedes' age. If 20 is her age, then Mario's age is 20 + 16 = 36 and the sum of the ages is 36 + 20 = 56 but the problem says the total is 36. Thus, 20 can't be right for Mercedes' age.

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