Sharla is 8 years older than her sister, Patricia. The sum of their ages is 102. Find their ages.

ANSWER

Sharla(x) is 55 and Patricia(y) is 47  

Work:

EQUATIONS

y = x + 8

x + y = 102

REASONING

then substitute the like terms "y"...you should get...

2y + 8 = 102

then subtract 8 from both sides ...leaving you with...

2y = 94

then divide

your y should be 47

then subtract 47 from 102 and you get Sharla's age, which is 55

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