SOLUTION: Albert's father is 24 years old than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?

Click here to see ALL problems on Age Word Problems

Question 1012295: Albert's father is 24 years old than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?

Found 3 solutions by macston, fractalier, MathTherapy:
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website!
.
A=Albert's age; F=Father's age=A+24
.
F+8=2(A+8)
(A+24)+8=2A+16
A+32=2A+16
16=A
ANSWER 1: Albert is 16 years old.
.
F=A+24=16+24=40
ANSWER2: Father is 40 years old.
.
CHECK:
F+8=2(A+8)
40+8=2(16+8)
48=2(24)
48=48
.

Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website!
Call Albert's and his father's age NOW, a and f.
Then we have
f = a + 24
In 8 years,
f + 8 = 2(a + 8)
Now substitute and get
a+24 + 8 = 2(a + 8)
a + 32 = 2a + 16
Now subtract a from both sides and then subtract 16 and get
32 = a + 16
a = 16
Then we have
f = 40

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Albert's father is 24 years old than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?

Let father's current age, be F
Then Albert's is: F - 24
We then get: F + 8 = 2(F - 24 + 8)
F + 8 = 2(F - 16)
F + 8 = 2F - 32
F - 2F = - 32 - 8
- F = - 40
F, or father's current age = , or