SOLUTION: One year ago the father was 8 times as old as his son. Now, his age is the square of his son's age.find their present age
Algebra.Com
Question 847422: One year ago the father was 8 times as old as his son. Now, his age is the square of his son's age.find their present age
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = son's age now
x² = father's age now
x - 1 = son 1 year ago {subtracted 1 from present age}
x² - 1 = father's age 1 year ago {subtracted 1 from present age}
x² - 1 = 8(x - 1) {one year ago, father was equal to eight times son}
x² - 1 = 8x - 8 {used distributive property}
x² - 8x + 7 = 0 {subtracted 8x and added 8 to each side}
(x - 7)(x - 1) = 0 {factored into two binomials}
x - 7 = 0 or x - 1 = 0 {set each factor equal to 0}
x = 7 or x = 1 {solved each equation for x}
x = 7 {x cannot be 1, because the father would have been 0, one year ago}
x² = 49 {substituted 7, in for x, into x²}
son is 7
father is 49
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of... (answered by MathLover1)
a father is now threes times as old as his son. Eight years ago the father's age was five (answered by ewatrrr)
A father is now three times as old as his son. 12 years ago he was six as old as his son. (answered by Maths68)
A father is twice as old as his son. He was 6 times his son’s age 20 years ago. What
is... (answered by Cromlix)
A father is twice as old as his son. He was 6 times his son’s age 20 years ago. What is... (answered by Boreal,Alan3354)
a father is now twice in age to his son.20 years ago he was 12 times as old as his... (answered by lwsshak3)
A father is 3 times as old as his son, eight years ago the father's age was 5 times that... (answered by hamsanash1981@gmail.com)
1. (Age) a father is now three times as old as his son. Twelve years ago he was six times (answered by Edwin McCravy)
A father is twice as old as his son. Twelve years ago the father was four times as old as (answered by lwsshak3)