Question
Download Solution PDFThe average age of three boys is 15 years and their ages are in proportion 3 : 5 : 7. What is the age in years of the youngest boy?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average age of three boys is 15 years and their ages are in proportion 3 : 5 : 7.
Formula used:
Average = Total sum of ages / Number of boys
Calculations:
Let the ages of the boys be 3x, 5x, and 7x.
Average age = 15
⇒ (3x + 5x + 7x) / 3 = 15
⇒ 15x / 3 = 15
⇒ 5x = 15
⇒ x = 3
⇒ The age of the youngest boy = 3x = 3 × 3 = 9 years
∴ The correct answer is option 1.
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