Question 30745
Let the first or smaller consecutive integer = x 

Let the second or larger consecutive integer = x+1 

Now according to equation,,,we get 

3(x) + 4(x+1) = 130

3x + 4x + 4 = 130

7x + 4 = 130

subtracting 4 from both sides we get ...

7x = 126

divide both sides by 7 and we get

x = 18

so smaller consecutive integer = x = 18

and Larger consecutive integer = x + 1 = 19

hope this will help you 

Please feel free to revert back for any further queries.