The average age of mother and her three children is 10 years. If the ages of the children are 1, 4 and 7 years,how old is he mother?
Let's calculate the combined age of the children and then use that to find the mother's age.
The children's ages are: 1 year, 4 years, and 7 years.
Combined age of the children = 1 + 4 + 7 = 12 years
If the average age of the mother and her three children is 10 years, we can write the following equation to represent this relationship, where M represents the mother's age:
(Average age) = (Total age of all family members) / (Number of family members)
Given that the average age is 10 years for the four family members (the mother and her three children), the total age of all family members would be:
10 years * 4 members = 40 years
Now, we can subtract the combined age of the children from this total to find the mother's age:
Mother's age (M) = Total age of all family members - Combined age of the children
M = 40 years - 12 years
M = 28 years
The mother is 28 years old.