Answer:
14
Explanation:
Let x = Tim's age now
Convert the statement into an equation.
Four times my age 6 years ago = 2 times my age in 2 years.
4 * (x - 6) = 2 * (x + 2)
Simplify the equation by multiplying out the brackets.
4x - 24 = 2x + 4
Put the equation in the form ax = B, so that all the terms of x are on one side and the integers are on the other.
Minus 2x from both sides.
4x - 24 - 2x = 2x + 4 - 2x
2x - 24 = 4
Add 24 to both sides.
2x - 24 + 24 = 4 + 24
2x = 28
Put the equation in the form x = b to find the value of x.
Divide both sides by 2.
2x/2 = 28/2
x = 14
Tim is 14.
Substitute x back into the original equation to check it's right.
4 * (x - 6) = 2 * (x + 2)
4 * (x - 6) = 4 * (14 - 6) = 4 * (8) = 32
2 * (x + 2) = 2 * (14 + 2) = 2 * (16) = 32