Question
Download Solution PDFThe average age of seven members of a family is 35 years. If one of the members whose age is 35 years is not included, then the age of other six family members is in the ratio of 1 ∶ 2 ∶ 3 ∶ 4 ∶ 5 ∶ 6. Find the age of the eldest member of the family.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe average age of the seven family members is 35 years. So, the total of their ages is 35 × 7 = 245 years.
When we remove the member who is 35 years old, the total age of the remaining six members is 245 - 35 = 210 years.
The ages of these six members are in the ratio 1:2:3:4:5:6. The sum of the ratios is 1+2+3+4+5+6 = 21.
If 21 parts represent 210 years, then 1 part represents 210 / 21 = 10 years.
Therefore, the age of the eldest member (which corresponds to the ratio 6) is 10 × 6 = 60 years.
So, the answer is (1) 60 years.
Last updated on Jun 19, 2025
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