To solve this problem, we should set up an equation, letting the variable x represent George's age. The problem states that George's age (x) increased by 15 (+15) is (=) 7 less (-7) than three times his age (3x). If we substitute in these numerical values into the equation, we get:
x + 15 = 3x - 7
To solve this equation, we are going to begin by subtracting x from both sides of the equation, to get all of the variables on the right side of the equation.
15 = 2x - 7
Next, we should add 7 to both sides of the equation to get all of the constants on the left side of the equation.
22 = 2x
Finally, we should divide both sides of the equation by 2 in order to get the variable x alone on the right side and get rid of the coefficient.
x = 11
Therefore, George is 11 years old.
Hope this helps!
