Question
Download Solution PDFThe ages of four individuals are in the ratio 2 : 3 : 4 : 5, and the total of their ages is 140 years. Find the difference in age between the youngest and the oldest person.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of ages = 2 : 3 : 4 : 5
Total age = 140 years
Formula Used:
Age of individual = (Ratio part of individual / Sum of ratio parts) × Total age
Calculations:
Sum of ratio parts = 2 + 3 + 4 + 5
⇒ Sum of ratio parts = 14
Age of youngest person (2 parts) = \(\dfrac{2}{14}\) × 140
⇒ Age of youngest person = 2 × 10
⇒ Age of youngest person = 20 years
Age of oldest person (5 parts) = \(\dfrac{5}{14}\) × 140
⇒ Age of oldest person = 5 × 10
⇒ Age of oldest person = 50 years
Difference in age = Age of oldest person - Age of youngest person
⇒ Difference in age = 50 - 20
⇒ Difference in age = 30 years
∴ The difference in age between the youngest and the oldest person is 30 years.
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