The average of 5 children born at intervals of 2 years is 18 years. What is the age of the youngest child?
A. 10
B. 12
C. 14
D. 16
Explanation:
Let’s solve the problem step by step:
Given:
- The average age of 5 children born at intervals of 2 years is 18 years.
To find:
- The age of the youngest child.
We know that the average age is the sum of all ages divided by the number of individuals. In this case, the average age is 18 years for 5 children.
The sum of ages of the 5 children can be calculated by multiplying the average age (18 years) by the number of children (5):
Sum of ages = Average age * Number of children
Sum of ages = 18 years * 5 = 90 years
Now, let’s calculate the ages of the children based on the given information:
Let the ages of the children be x, x+2, x+4, x+6, and x+8 (where x is the age of the youngest child).
According to the given information, the sum of their ages is 90 years:
x + (x+2) + (x+4) + (x+6) + (x+8) = 90
Simplifying the equation:
5x + 20 = 90
5x = 70
x = 14
Age of the Youngest Child
Therefore, the age of the youngest child (x) is 14 years.
The correct answer is option C. 14 years.
Therefore, the age of the youngest child is 14 years.
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