What are two consecutive integers such that seven times the larger minus three times the smaller is 95?

We'll note the consecutive integers as x and x +
1.

Since the enunciation contains the terms "the larger"
and "the smaller", we'll identify the larger number as x+1 and the smaller as
x.

We'll write mathematically the
enunciation:

seven times the larger =
7(x+1)

 three times the smaller =
3x

7(x+1) - 3x = 95

We'll
remove the brackets:

7x + 7 - 3x =
95

We'll isolatex to the left side. For this reason, we'll
subtract 7 both sides:

4x = 95 -
7

4x = 88

We'll divide by
4:

x = 22

The
numbers are: x = 22 and x + 1 = 23.