Ques:- Old Man Wrinkle Man Wrinkle spent 1/4th of his life as a boy, 1/8th as a youth, and 1/2 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?
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32
Solution:
life as a boy = 1/4
life as a youth = 1/8
life as an active man = 1/2
sum of life as boy, youth and active man = 1/4 + 1/8 + 1/2 = 7/8
life as an old man = 1 − 7/8 = 1/8
1/8 Wrinkle’s life (as an old man) is 8 years.
and 1/2 = 1/8 *4
So, 1/2 Wrinkle’s Age (as active man) = 8*4 = 32years.