Question

Find the value of p if the arithmetic mean of 3 and 3p+5=31​

Answer 1

Statement:

The arithmetic mean of 3 and 3p+5 is 31.

To find out:

The value of p.

Solution:

• We know

`mean \: \: \: = \: \: \: (sum \: \: \: of \: \: \: all \: \: \: the \: \: \: terms)/(number \: \: \: of \: \: \: terms)`

• Therefore,

`(3 + (3p + 5))/(2) = 31 \\ = > (3p + 8)/(2) = 31 \\ = > 3p + 8 = 31 * 2 \\ = > 3p + 8 = 62 \\ = > 3p = 62 - 8 \\ = > 3p = 54 \\ = > p = (54)/(3) \\ = > p = 18`

Answer:

The value of p is 18.