SOLUTION: How do you solve this algebra word problem step by step so i can understand where each step comes from? Ann is two years older than Barry, who is five years younger than Cal. Cal

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Question 902726: How do you solve this algebra word problem step by step so i can understand where each step comes from? Ann is two years older than Barry, who is five years younger than Cal. Cal is twice as old as Ann. How old is each person?

Thank you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the sentences to math symbols.
Ann is two years older than Barry.
A=2%2BB
Barry, who is five years younger than Cal
B=C-5
Cal is twice as old as Ann
C=2A
So now you have 3 equations with three unknowns, A, B, C.
Now substitute to reduce the number of variables.
Into eq. 1,
A=2%2BC-5
A=C-3
and from eq. 3,
A=2A-3
-A=-3
A=3
Now work backwards.
C=2A
C=2%283%29
C=6
and finally,
B=C-5
B=6-5
B=1