Question

What number must be added to the sequence 7, 13 and 10 to get an average of 13?
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22
24.
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18​

Answer 1

Given:

An average of 13 is obtained when a number is added to the sequences 7, 13 and 10.

To find:

The number.

Solution:

Let the number be x which is added to the sequence 7, 13 and 10 to get an average of 13.

Now, we know that,

$average \: of \: given \: numbers= \frac{sum \: of \:given \: numbers}{number \: of \: values \: that \: are \: added}$

Thus, as given,

the average of four numbers 7, 13, 10 and x is 13.

Hence, we have,

$\frac{7 + 13 + 10 + x}{4} = 13$

$30 + x = 52$

$x = 52 - 30 = 22$

Hence, the number that is added to the given sequence 7, 13 and 10 to get an average of 13 is 22.

So, the correct answer is 22.