If 1 subtracted from a number in the difference of this is tripled the result is 11 times more than the number find the number

Question

If 1 is subtracted from a number and the difference is tripled the result is 11 more than the number find the number

Answer 1

Hi Tiffany, let n represent the number. Then, when we subtract 1 from n, n - 1, and multiply by 3, the result will be equal to n + 11.

 

3 * (n - 1) = n + 11

 

3n - 3 = n + 11

 

Subtract n from both sides:

 

2n - 3 = 11

 

Add 3 to both sides:

 

2n = 14

 

Divide both sides by 2:

 

n = 7

 

The number is 7.

 

Check

 

3 * (7 - 1) = 7 + 11

 

3 * 6 = 18

 

18 = 18

 

Values check.

 

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