The sum of the age of 6 children born at the intervals of 2 years in 60 years. What is the age of the youngest child?
- 7
- 6
- 5
- none
Explanation
Let's assume the age of the youngest child is x. The ages of the other children can be represented as follows:
Second child: x + 2
Third child: x + 4
Fourth child: x + 6
Fifth child: x + 8
Sixth child: x + 10
To find the sum of their ages, we add up these values:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10)
Simplifying the expression:
6x + 30 = 60
Now, we can solve for x:
6x = 30
Dividing both sides of the equation by 6:
x = 5
Therefore, the age of the youngest child is 5 years old.
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