Set up a linear system and solve.

The sum of two positive integers is 35. When the smaller integer is subtracted from twice the

larger, the result is 34. Find the two integers.

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i. e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i. e

2f - g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f - g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i. e 3

f = 69/3

f = 23

Substituting the value of f into equation (1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 - 23

g = 12

The two integers are 23 and 12