SOLUTION: Bob is half as old as Tom. One year ago Bob age was two fifths of what Tom's age will be a year from now. Can you figure out Bob's age and Tom's age.

Question 149108: Bob is half as old as Tom.
One year ago Bob age was two fifths of what Tom's age will be a year from now.
Can you figure out Bob's age and Tom's age.
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement:
:
"Bob is half as old as Tom."
B = T
or
T = 2B
:
"One year ago Bob age was two fifths of what Tom's age will be a year from now."
B - 1 = (T + 1)
Multiply equation by 5 to get rid of the denominator, results:
5(B - 1) = 2(T + 1)
:
5B - 5 = 2T + 2
:
5B = 2T + 2 + 5
:
5B = 2T + 7
:
Can you figure out Bob's age and Tom's age.
:
Substitute 2B for T in the above equation
5B = 2(2B) + 7
5B = 4B + 7
5B - 4B = 7
B = 7 yrs is Bob's age
Then
T = 2(7)
T = 14 yrs is Tom's age
:
:
Check solution using the statement:
"One year ago Bob age was two fifths of what Tom's age will be a year from now."
7 - 1 = (14 + 1)
6 = *15
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Bob's age now
Let = Tom's age now

= Bob's age 1 year ago
= Tom's age 1 year from now

Since

Bob's age is 7 and Tom's age is 14
check:

OK
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