Answer:
James = 1 year
Austin = 5 years
Step-by-step explanation:
Let James age = x
Let Austin's age = y
James is four years younger than Austin.
x = y - 4
If three times James age is increased by the square of Austin's age, the result is 28.
3(x - 4) + y² = 28
Hence,
Note: x = y - 4
Hence,
3y - 12 + y² = 28
3y + y² - 12 - 28 = 0
y² + 3y - 40 = 0
y² + 8y - 5y - 40 = 0
y(y + 8) - 5(y + 8 ) = 0
(y + 8)(y - 5)
y = -8
y = 5 years
x = y - 4
x = 5 - 4
x = 1 years.
