SOLUTION: Beth is 8 2/3 older than Ben. The Sum of their ages is 23 Years.How old is Ben ?

Question 549934: Beth is 8 2/3 older than Ben. The Sum of their ages is 23 Years.How old is Ben ?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Beth is 8 2/3 older than Ben. The Sum of their ages is 23 Years.How old is Ben ?
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Equation:
B = b + 8 2/3
B + b = 23
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Substitute for "B" and solve for "b":
b+ 8 2/3 + b = 23
2b = 14 1/3
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2b = 43/3
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b = 43/6 = 7 1/3 hears (Ben's age now)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Beth's age
Let = Ben's age
given:

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by substitution:

Ben is 7 years and 2 months old
check answer:

and

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