Question 937813
ed is twice as old as dave
fran is 13 years younger than ed
Fran is 5 years older than dave
Question : form an equation in x (taking Dave's age to be x) and solve the equation to find Dave's age
:
ed is twice as old as dave
e = 2x
:
fran is 13 years younger than ed
f = e - 13
replace e with 2x (from the 1st statement)
f = 2x - 13
:
Fran is 5 years older than dave
f = x + 5
:
f = f, so write the equation as
2x - 13 = x + 5
2x - x = 5 + 13
x = 18 is Dave's age
:
:
Confirm this with the two Fran equations
f = 2(18) - 13
f = 23
and
f = 18 + 5
f = 23