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If x is George's age, then x  4
is Jon's age because George is 4 years older than Jon. George is 8 years
older than Jim, making Jim's age x  8. George is 12 years older than Sam,
so Sam's age can be represented as
We also know that Sam is 1/2 the age of George. So, set up the expression: (x  12) = 1/2 x To solve for x, you first need to
put 1/2x into a different form.
x is the same as x over 1 if you put it into fraction form, or x/1. So, when you multiply 1/2 by x, it would actually look like (1/2) (x/1). When you multiply fractions, you multiply the numerators (1)(x) and then the denominators (2)(1). The result is x/2. Now rewrite the expression using x/2 instead of 1/2x. (x12) = x/2 We learned that when you solve an expression, you want to "isolate" the variable. To do this, multiply BOTH sides by 2. (x12) = x/2 2(x12) = 2(x/2) 2x 24 = x Now, you need to get both variables on the same side of the equal sign, so subtract 2x from BOTH sides: 2x  2x  24 = x  2x 24 = 1x (Divide 24 by 1 to solve for x) 24 = x therefore, George is 24. Jon's
age is represented by x  4 or 20.

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