Question

The arithmetic mean of 25, 29, and x is 29. Find x.

Answer 1

x = 33

Explanation:

The arithmetic mean is equal to the sum of values divided by the number of values (3 in this case)

`(25 + 29 + x)/(3) = 29`

Use the property of the proportion (cross-multiply) to find x:

`25 + 29 + x = 3 * 29`

`54 + x = 87`

`x = 87 - 54`

`x = 33`

Answer 2

Answer: x = 33

Explanation/work:

Equation:

(25 + 29 + x)/3 = 29

Multiply 3 to both sides

25 + 29 + x = 87

Combine like terms

54 + x = 87

Subtract 54 from both sides

x = 33