SOLUTION: the difference between a mother's age and the sum of her two daughter age is 6 years the avarege age of two daughter is 22. what is the age of mother

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Question 822565: the difference between a mother's age and the sum of her two daughter age is 6 years the avarege age of two daughter is 22. what is the age of mother
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The average of two numbers is the sum of the two numbers divided by 2. Since there are two daughters and their average age is 22, the sum of their ages must be 44.

Let m = the mother's age. Then "the difference between the mother's age and the sum of the daughter's age is 6" translates into:
m - 44 = 6
Adding 44 to each side:
m = 50