Find two numbers if you know their sum is 29 and the difference is 17.

Let us denote by the variable n the value of the first unknown number (larger).

Therefore, according to the conditions of this task, we can represent the value of the second unknown number (smaller) in the form (29 – n).

Since we know, based on the conditions of this task, that the difference between two unknown numbers is 17, we write down the equation and calculate these unknown numbers:

n – (29 – n) = 17;

2n = 46;

n = 23;

29 – 23 = 6.

Answer: The first unknown number is 23, the second unknown is 6.