when 22 is added to triple a number the result is a fourth of the number

Answer 1

Let x be the number we wish to find.

Add 22 to triple the number (i.e. 3x), and get the result which is a fourth of the number (i.e. x/4). Writing this out in mathematical form

3x + 22 = x/4

Multiply the equation by 4 on both sides to eliminate the denominator.

12x + 88 = x

Solve this to get x = -8

Answer 2

3n + 22 = n / 4

12n + 88 = n

88 = -11n

-8 = n

Answer 3

Let's represent the unknown number with the variable x.

Then we can write the following equation using the information in the problem:

22 + 3x = 1 x

4

Now we can combine like terms and use inverse operations to solve for x:

22 + 3x - 3x = 1 x - 3x

4

22 = -2 3 x

4

22 = - 11 x

4

88 = -11x

88/-11 = -11x/-11

-8 = x

The unknown number is -8.

To verify: Triple the number is 3* (-8) or -24. Then -24 + 22 = -2 AND 1/4 of (-8) is -2 also.