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

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = Beth's age
Let b = Ben's age
given:
+a+=+b+%2B+26%2F3+
+a+%2B+b+=+23+
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by substitution:
+b+%2B+26%2F3++%2B+b+=+23+
+3b+%2B+26+%2B+3b+=+69+
+6b+=+69+-+26+
+6b+=+43+
+b+=+43%2F6+
Ben is 7 years and 2 months old
check answer:
+a+=+b+%2B+26%2F3+
+a+=+43%2F6+%2B+26%2F3+
+a+=+95%2F6+
and
+a+%2B+b+=+23+
+95%2F6+%2B+43%2F6+=+138%2F6+
+95+%2B+43+=+138+
+138+=+138+