You can put this solution on YOUR website! Write an equation for each statement
:
"Bob is 24 years younger than his father."
B = F - 24
:
"In 2 years he will be half as old as his father."
B + 2 = .5(F + 2)
B + 2 = .5F + 1
B = .5F + 1 - 2
B = .5F - 1
:
How old is each now?
Substitute (F-24) for B in the above equation
F - 24 = .5F - 1
:
F = .5F - 1 + 24
:
F -.5F = 23
:
.5F = 23
:
F = 23/.5
:
F = 46 yrs is Father's ate now
Then
46 - 24 = 22 yrs is Bob's age now
:
:
Check solution in the statement:
"In 2 years he will be half as old as his father."
22 + 2 = .5(46+2)
24 = 24; confirms our solution
