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The average age of seven members of a family is 35 years. If one of the members whose age is 35 years…

The seven members' ages total \(7 \times 35 = 245\) years. Leaving out the member aged 35 gives \(245 - 35 = 210\) years for the other six, shared in the ratio 1 : 2 : 3 : 4…

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The 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.

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Answer and explanation

Correct answer A

The seven members' ages total 7×35=2457 \times 35 = 245 years. Leaving out the member aged 35 gives 245−35=210245 - 35 = 210 years for the other six, shared in the ratio 1 : 2 : 3 : 4 : 5 : 6, which has 21 parts, so one part is 210÷21=10210 \div 21 = 10 years. The eldest has 6 parts, that is 60 years, and the excluded member, at 35, is younger than that.

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