SOLUTION: If Alex gives Bob a penny, Bob will have three times as many pennies as Alex has. If Bob gives Alex a penny, Bob will have twice as many pennies as Alex has. How many pennies does

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Question 1061342: If Alex gives Bob a penny, Bob will have three times as many pennies as Alex has. If Bob gives Alex a penny, Bob will have twice as many pennies as Alex has. How many pennies does Bob currently have?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
AleX, x
BoB, b

x-1 and b+1;
b%2B1=3%28x-1%29

b-1 and x+1;
b-1=2%28x%2B1%29

system%28b%2B1=3x-3%2Cb-1=2x%2B2%29

system%283x-b=4%2C2x-b=-3%29

E1-E2:
%283x-b%29-%282x-b%29=4-%28-3%29
highlight%28x=7%29-----------pennies that Alex has originally.


b-1=2x%2B2
b=2x%2B3
b=2%2A7%2B3
highlight%28b=17%29-----------pennies Bob originally has.