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
