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

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Let the two consecutive integers be x and x+1.

The given condition is that 7 times the larger - 3 times the smaller = 95.

=> 7(x+1) - 3x = 95.

=> 7x+7 -3x = 95.

=> 4x+7 = 95.

=> 4x = 95-7 = 88.

=> 4x/4 = 88/4 = 22.

Therefore x = 22 and x+1 = 22+1 = 23.

So the two numbers are 22 and 23.

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.**