Question

One-third of Derick's age two years ago is equal to a quarter of his age four years from now. How old is he now?

Please provide the following:
-Representation
-Equation
-Solution
-Answer
-Checking

Answer 1

Let x = Derick's age now.

(x-2)/3 = (x+4)/4

Solve for x.

4(x-2) = 3(x+4)
x = 12+8 = 20
Two years ago he was 18. 1/3 of that is 6
Four years from now he is 24. 1/4 of that is also 6.

Answer 2

Factorize 2x2square+8x - 10=0