The sum of two numbers is more than one term by 20, and the second by 34. Write down the terms and the sum.

Let us denote the required terms by x and y. According to the condition of the problem, the sum of these two numbers is more than one term by 20, therefore, the following relation is true:
x + y = 20 + x.
It is also known that the sum of these two numbers is greater than the second term by 34, therefore, the following relationship is true:
x + y = 34 + y.
We solve the resulting system of equations. Bringing similar terms in the first equation, we get:
x + y – x = 20;
x – x + y = 20;
y = 20.
Bringing similar terms in the second equation, we get:
x + y – y = 34;
x = 34.
Knowing the terms, we find the sum:
34 + 20 = 54.

Answer: the required terms are 34 and 20, their sum is 54.