Old Man WrinkleMan Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 8 years as an old man, then how many years did he spend as an active man?

(1/4)y+(1/8)y+(1/2)y =p; where y =total life time.
y-p=8.since p=(14/16)y
we've y=64
active age=32

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tmhasan7

  • Sep 20th, 2006
 

In case the above solution confuses.....

1. If x is total life

(1/4)x+(1/8)x+(1/2)x+px =x, where p is the proportion of oldage.

(1/4)+(1/8)+(1/2)+p =1

This gives px = 1/8x = 8 years,

2. This gives, total life, x = 64 years

3. One half of this is active age. So its 32 years.

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