Final answer:
The algebraic equation that represents the situation where one number is three times bigger than another and their sum is 44 when x is added to each is x + 3x = 44. Upon solving, x is found to be 11, thus the bigger number is 3 * 11, which equals 33.
Step-by-step explanation:
To solve for the bigger number in the given equation, let's define two variables. Let x represent the smaller number, and 3x represent the bigger number, since it is three times bigger than the smaller number. According to the problem, if you add x to each number, their sum is 44. Therefore, the algebraic equation that represents this situation is:
x + 3x = 4x = 44
To find the value of x, you would simply divide both sides of the equation by 4:
x = 44/4
x = 11
Now that we have the value of x, we can find the bigger number by multiplying x by 3:
3x = 3 * 11
3x = 33
Therefore, the bigger number is 33.