Question
Download Solution PDFThe sum of the ages of 5 children born at intervals of 3 years each is 50 years . What is the age of the oldest child ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of the ages of 5 children born at intervals of 3 years each is 50 years.
Formula Used:
Age of oldest child = (Total sum of ages - Sum of ages of younger children) / Number of children
Calculation:
Let the age of the youngest child be x.
Ages of the children: x, x + 3, x + 6, x + 9, x + 12
Total sum of ages:
x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
⇒ 5x + 30 = 50
⇒ 5x = 20
⇒ x = 4
Age of the oldest child = x + 12
⇒ 4 + 12 = 16
The age of the oldest child is 16 years.
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