Question 228894: Dan is 1/6 his father's age. In 4 years, Dan will be 1/4 his fathers age. what is Dan's age? Found 2 solutions by ankor@dixie-net.com, edjones:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Dan is 1/6 his father's age.
d = f
or
f = 6d
:
In 4 years, Dan will be 1/4 his fathers age.
d + 4 = (f+4)
:
what is Dan's age?
:
Replace f with 6d in the last equation
d + 4 = (6d + 4)
Multiply both sides by 4
4(d + 4) = 6d + 4
:
4d + 16 = 6d + 4
:
16 - 4 = 6d - 4d
:
12 = 2d
:
d = 6 yrs is Dan's age
;
:
Check solution:
f = 6(6) = 36
"In 4 years, Dan will be 1/4 his fathers age."
6 + 4 = 1/4 * 36 + 4
You can put this solution on YOUR website! Let d=dan's age & f=father's age
a) d=f/6
b) (d+4)=(f+4)/4
.
a) f=6d
b)
4(d+4)=f+4 multiply each side by 4.
4d+16=f+4
4d+16=6d+4 substitute 6d for f.
-2d=-12
d=6 yrs old
.
Ed
