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.

- Algebra -
**tony**, Monday, October 1, 2012 at 11:48am
mercedes is 2 years old

mario is 34 years old

- Algebra -
**greg**, Monday, September 22, 2014 at 9:14pm
the sum of kim and tony's ages is 42. the difference in their ages is 4 years, how old are tony and kim?

- Algebra -
**kamoy**, Thursday, May 19, 2016 at 7:37pm
32

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