The sum of two integers is 74. The larger is 13 less than twice the smaller.

smaller integer = 29

larger integer = 45

Step-by-step explanation:

Let the smaller integer be x.

Larger integer = 74 - x

Since the larger integer is 13 less than twice of the smaller integer,

74 - x = 2x - 13

74 + 13 = 2x + x (bring x terms to 1 side)

3x = 87 (simplify)

x = 87 : 3

x = 29

Smaller integer = 29

Larger integer

= 74 - 29

= 45