SOLUTION: Frank is four times as old as his brother. The difference in their ages is 24. How old is each?

Algebra.Com
Question 766194: Frank is four times as old as his brother. The difference in their ages is 24. How old is each?

Answer by suruman(21)   (Show Source): You can put this solution on YOUR website!
Let age of Frank's brother be x.
Since Frank is four times as old as his brother, age of Franc = 4x
Difference in their ages is 24.
Thus, 4x - x = 24
3x = 24
x = 8.
Age of Franc = 4x = 4*8 = 32.
Thus, age of Franc = 32 and his brother's age is 8.

RELATED QUESTIONS

Frank is 4 times as old as Lin. The difference in their ages is equal to Lin's age plus... (answered by JBarnum)
Frank is 4 times as old as Lin. the difference in their ages is equal to Lin's age plus... (answered by math-vortex)
Frank is 4 times as old as lin. The difference in their ages is eaual to lins age plus 8. (answered by amarjeeth123)
sylvia is four times as old as kim the difference between their ages is 24 how old is... (answered by duckness73)
A man is now four times as old as his brother. five years ago the sum of their ages was... (answered by richwmiller)
Erin is 3 times as old as her brother auston. If the difference in their ages is 1 years, (answered by josgarithmetic)
Mary is four times as old as John. The difference of their ages is 42. How old is... (answered by ewatrrr,edjones)
Ed is twice as old as his brother Tim and the sum of their ages is 24 years old. How old... (answered by addingup)
Adam is twice as old as his brother. The sum of their ages is 27. How old is each... (answered by checkley79)