Sam's dad is 4 times older than his son.
Sam's dad is 4 times older than his son. In 22 years from now, however, he'll only be twice his son's age. How old will Sam be 22 years from now?
Answer/Solution
33 years
Steps/Work
At the present,
Sam's age is x.
Sam's father's age is y= 4x.
In 22 years from now,
Sam's age will be x+22.
Sam's father's age will be y+22=2 (x+22).
If we take both equations,
y=4x, and
y+22=2 (x+22),
then
y+22=4x+22=2 (x+22)
4x+22=2x+44
4x-2x=44-22
2x=22
x=11
This is, however, Sam's current age. Since the question is how old he'll be in 22 years from now, the answer 11+22=33.
ANSWER: B
Sam's age is x.
Sam's father's age is y= 4x.
In 22 years from now,
Sam's age will be x+22.
Sam's father's age will be y+22=2 (x+22).
If we take both equations,
y=4x, and
y+22=2 (x+22),
then
y+22=4x+22=2 (x+22)
4x+22=2x+44
4x-2x=44-22
2x=22
x=11
This is, however, Sam's current age. Since the question is how old he'll be in 22 years from now, the answer 11+22=33.
ANSWER: B