The average height of a family of 6 is 6 feet. After the demise of the mother, the average height re

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The average height of a family of 6 is 6 feet. After the demise of the mother, the average height remained the same. What is the height of the mother?

• Let the height of the family without the mom be f. Let the height of the mother be m.
• Averages mean we add the heights and divide by the number of people who were measured.

We're given two equations:

1. (f + m)/6 = 6
2. f/5 = 6

Cross multiplying equation (2), we get:
f = 5 * 6
f = 30

Plug f = 30 into equation (1), we get:
(30 + m)/6 = 6

Cross multiplying, we get:
m + 30 = 6 * 6
m + 30 = 36

To solve this equation for m, we type it in our search engine and we get:
m = 6