SOLUTION: the sum of anna's and jeff's age is 23. the product is 132. anna is one year younger. how old is anna

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Question 682258: the sum of anna's and jeff's age is 23. the product is 132. anna is one year younger. how old is anna
Answer by MathLover1(20855) About Me  (Show Source):
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let x be anna's and y jeff's age
given:
anna is one year younger; means
x%2B1=y.............1
the sum of anna's and jeff's age is 23, means
x%2By=23.......substitute y from 1
x%2Bx%2B1=23....solve for x
2x%2B1=23
2x=23-1
2x=22
x=11.........anna's age
so, if x%2B1=y
11%2B1=y
12=y........jeff's age
check the product:
the product is 132
11%2A12=132
132=132