Tim says: "Four times my age 6 years ago is the same as 2 times my age in 2 years." How old is Tim now?

14

Step-by-step 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

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