the average age of 7 men is the same as it was 5 years ago,a younger man having been replaced for one of them. How much younger was he than the man whom he replaced ?
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Answer:
the answer of this question is 12
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Step-by-step explanation:
Lets assume that the sum of the age of the unchanged trustees 5 years ago be x. Also the age of the replaced trustee and the new trustee, five years ago be y and z respectively.
Now since the average age of the current committee and the previous committee is same,
(x + y)/7=(x + z + 35)/7
The 35 value accounts for the time lapse of 5 years for each of the 7 trustees.
Thus we get y - z = 35
Therefore the age gap is 35.
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