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Question
Uncle Sam 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 11 years as an old man, then how many years did he spend as an active man?
David,
Let us solve this.
Say Sam lived total 'x' years.
So his stages of life are:
Boy - (1/4)x
Youth - (1/8)x
Active man - (1/2)x
Old - 11
So total of all these stages is x.
Means
(1/4)x + (1/8)x + (1/2)x + 11 = x
Solving this,
(2x+x+4x+88)/8 = x
On further solving,
x = 88
So his life spent as active man = (1/2)x = 44 years.
I hope this helps you.
Let me know if you need additional information.
All the best.
Regards,
Pawan
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Answers by Expert:
Pawan Musale
Expertise
I can answer Basic Mathematics questions like: Natural Numbers, Integers, Real Numbers, Complex Numbers, Number Theory, Geometry, Trigonometry, Graph Theory, Square Roots, Basic Integration, Profit-Loss problems, Work-Time problems, Equations etc I can try to answer questions of probability and set theory
Experience
Tutoring on allexperts.com since long time
Education/Credentials
I am Bachelor of Engineering (Instrumentation) from the reputed institute in India.
Awards and Honors
I was 18th in High School Scholarship examination in Maharashtra State of India.
I was second in Mathematics in Maharashtra State in Secondary School Certificate examination.
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