SOLUTION: Please help me on my homework on age problem on linear equation in one variable:...."Six years ago Carl was three times as old as John.Eight years hence,four times Carl's age will

Question 925595: Please help me on my homework on age problem on linear equation in one variable:...."Six years ago Carl was three times as old as John.Eight years hence,four times Carl's age will be five times John's age.Find their present ages.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be Carl's age and y be John's age, then
(x-6) = 3*(y-6)
4*(x+8) = 5*(y+8)
first equation becomes
x-6 = 3y-18
x - 3y = -12
x = 3y -12
substitute for x in second equation
4*(3y-12+8) = 5y+40
12y-16 = 5y+40
7y = 56
y = 8, then use first equation
x-6 = 3*(8-6)
x-6 = 6
x = 12
therefore
Carl is 12 and John is 8

RELATED QUESTIONS
The sum of Carl's and Patricia's ages is 30. Thirteen years ago, Patricia was three times (answered by awang1996)

I am a Grandmother trying to help my grandson with his homework. I haven't taken Algebra (answered by ankor@dixie-net.com)

I am a Grandmother trying to help my grandson with his homework. I haven't taken Algebra (answered by feliz1965)

Please help me solve this word problem on age: Six years ago, Wendy was twice the age of... (answered by mananth)

Hi there please help I am parent trying to help my eldest on Equation in year 9, this the (answered by ankor@dixie-net.com,scott8148)

Please help me solve this problem: In 4 years, Steve's age will be 2 years less than... (answered by richwmiller)

The sum of the ages of Alan, Jim, and Les is 157 years. Twenty years ago, six times Jim's (answered by josgarithmetic)

Find the age of me "in 12 years i will be three times as old as i was 32 years ago"... (answered by josgarithmetic)

Can you please help me with this problem? "Six years ago, Josie was 5 times as old as her (answered by Theo)