Algebra word problems

11th Grade math Algebra Word Problems:

Example:

The average of a six numbers is 22. take out one of the number from the given list; the average of the left over numbers is 14. Find the number that was removed from the list?

Solution:

Step 1:

The difference between sum of left over seven numbers and the sum of eight numbers is said to be removed number that is

Sum of six number – sum of left over (remaining) 5 numbers

Step 2:

Use the formula

Sum of terms = Average value x number of terms

Sum of eight number = 22 x 6 = 132

Sum of 7 numbers = 14 x 5 = 70

Step 3:

Using the formula

The removed number = sum of 8 number – sum of left over 7 number

132 - 70= 62

Answer:

The number removed from the list is 62.