SOLUTION: James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28. Find the ages of James and Austin.
Algebra.Com
Question 934947: James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28. Find the ages of James and Austin.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = Austin's age
x - 4 = James' age
3(x - 4) + x˛ = 28 {three times James' age is increased by the square of Austin's, result is 28}
3x - 12 + x˛ = 28 {used distributive property}
x˛ + 3x - 40 = 0 {subtracted 28 from each side}
(x + 8)(x - 5) = 0 {factored into two binomials}
x + 8 = 0 or x - 5 = 0 {set each factor equal to 0}
x = -8 or x = 5 {solved each equation for x}
x = 5 {age cannot be negative}
x - 4 = 1 {substituted 5, in for x, into x - 4}
Austin is 5 and James is 1
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
James is four years younger than Austin. If three times James' age is increased by the... (answered by scott8148)
James is 6 years less than 7 times Corey’s age. The sum of there age is 18. What is... (answered by josgarithmetic)
Austin is 21 years younger than Shantel. 2 years ago, Shantel's age was 2 times Austin's... (answered by josgarithmetic)
The sum of the ages of Austin and Linda is 72 years. 6 years ago, Austin's age was two... (answered by addingup)
The sum of James’ age and David’s age is 34. Five years ago, the sum of twice James’ age... (answered by josgarithmetic,ikleyn)
Joe is ten years older than James. In eight years, twice Joe’s age will equal three times (answered by josgarithmetic)
john is three years older than Austin. in two years john will be two times as old as... (answered by KlambinRonsentaswer,MathTherapy)
James' age in years is five more than two times Erwin’s age. If James is 19 years old,... (answered by josgarithmetic)
If James is 3 times the age of Eric, and 5 years ago James was 4 times the age of Eric... (answered by mangopeeler07)