The average age of a 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
To determine the mother's age, we can use the information given about the average age of the mother and her three children.
The average age of the mother and the three children combined is 10 years. There are four individuals in total: the mother and her three children.
The sum of the ages of the three children is:
1 + 4 + 7 = 12 years
Let's denote the mother's age as M.
The sum of the ages of the mother and the three children would be:
M + 12
To find the average age, we would divide the total sum of the ages by the number of individuals, which is 4 (the mother and the three children). According to the problem, this average is 10 years. We can now set up an equation to represent this:
(M + 12) / 4 = 10
To find M (the mother's age), we multiply both sides of the equation by 4:
M + 12 = 40
Next, we subtract 12 from both sides to solve for M:
M = 40 - 12
M = 28
Therefore, the mother is 28 years old.