Question

the mean of all the factors of 20 and X is 7 find the value of x​

Answer 1

Answer:

What are the common factors of 20 and 25?

The factors of 20 are 1, 2, 4, 5, and 20.

The factors of 25 are 1, 5, and 25.

The common factors of 20 and 25 are 1 and 5.

Example:

Answer 2

⛦ Given-

• Mean of all the factors and x=7

⛦ To find-

• value of x

⛦Concept used

↬Factors of 20-1,2,4,5,10,20

↬$\rm \: mean = \frac{sum \: of \: all \: observation}{number \: of \: observation}$

⛦Solution-

↬Mean is the average of the given data where we add all numbers which are in given data and divide it by number of numbers that are given

↬Factors of 20-1,2,4,5,10,20

↬Data

1,2,4,5,10,20,x

Mean

$\bf \: mean = \frac{sum \: of \: all \: observation}{number \: of \: observation} \\ \bf \: mean = \frac{1 + 2 + 4 + 5 + 10 + 20 + x}{7} \\ \implies \boxed{ \bf mean = \frac{42 + x}{7}}$

↬We have given that mean=7

↬So we put in the equation

$\bf \: 7 = \frac{42 + x}{7} \\ \implies \bf \: 49 = 42 + x \\ \implies \bf \: x = 49 - 42 \\ \implies \underline{ \boxed{ \huge \bf \: x = 7}}$

$\therefore \underline{\bf \value \: of \: x \: is7}$