Question

The average of 13 results is 39, that of the first five is 38 and that of the last seven is 6.
Find the value of the 6th number.

Answer 1

Step-by-step explanation:

average of 13 result is 39

Answer 2

The value of the 6th number is 275

Given :

The average of 13 results is 39, that of the first five is 38 and that of the last seven is 6

To find :

The value of the 6th number

Solution :

Step 1 of 4 :

Find sum of 13 numbers

The average of 13 results is 39

The sum of 13 numbers

= 13 × 39

= 507

Step 2 of 4 :

Find sum of first five numbers

The average of first five numbers is 38

The sum of first five numbers

= 5 × 38

= 190

Step 3 of 4 :

Find sum of last seven numbers

The average of last seven numbers is 6

The sum of last seven numbers

= 7 × 6

= 42

Step 4 of 4 :

Find the value of the 6th number

The value of the 6th number

= The sum of 13 numbers - The sum of first five numbers - The sum of last seven numbers

= 507 - 190 - 42

= 275

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