SOLUTION: Dan's father was forty years older when the son was 12 years old. How many years must be added to Dan's age so that he will be 8 years older than one-fourth of his father's age?

Question 182293: Dan's father was forty years older when the son was 12 years old. How many years must be added to Dan's age so that he will be 8 years older than one-fourth of his father's age?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Dan's father was forty years older when the son was 12 years old. How many years must be added to Dan's age so that he will be 8 years older than one-fourth of his father's age?
:
"Dan's father was forty years older when the son was 12 years old."
:
Father's age = 12 + 40 = 52
Dan's age = 12
:
How many years must be added to Dan's age so that he will be 8 years older than one-fourth of his father's age?
:
Let x = no. of yr to be added
:
D + x = .25F + 8
Substitute the ages of F and D
12 + x = .25(52) + 8
12 + x = 13 + 8
x = 21 - 12
x = 9 yrs to be added
;
:
See if that is true in the statement:
" 9 years must be added to Dan's age so that he will be 8 years older than one-fourth of his father's age? "
12 + 9 = .25(52) + 8
21 = 21

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