George’s age increased by 15 is 7 less than 3 times his age. how old is george?

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!