On a man's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the man live to be?
(CTS Question)
Asked by Saikat
arunkumar   84 yearss..
7 years ago
radhika   x/6+x/12+x/7+y=x
y=17x/28
17x/28=5+s+4
s=x/2;
x=84;;
x=father age,y=remaining
7 years ago
tejaswi   Let the age of man = x,
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
therefore x= 84 yrs
7 years ago
sankho upadhyay   Let x be the age of the man at the time of his death. His age consists of the number of years he spent as a child plus the number of years he spent as a teenager plus the number of years between his coming of age and his marriage plus five plus his son's age (half his own) plus four. In mathematical terms, this is:
x = x/6 + x/12 + x/7 + 5 + x/2 + 4
x = 14x/84 + 7x/84 + 12x/84 + 42x/84 + 9
x = 75x/84 + 9
84x/84 - 75x/84 = 9
9x/84 = 9
x/84 = 1
x = 84
So the man lived to be 84 years old.

Alternative :

The man lived 1/12 of his life as a teenager. There are seven teen years. 7 × 12 = 84.

7 years ago
bikramjit   84
7 years ago
A.sugasra   if we consider his childhood fraction (i.e) 1/6.. there are 12 years in tht..so 12 *6=72 is onli coming na..
6 years ago
Sourav Bhunia   84
6 years ago
saket agrahari   1/12 as teenager means 19-13 which is 7 yr so 1/12 x=7 => x=84
6 years ago
J.Anita   84 yrs
6 years ago
Lucy Desouza   @Saket :teenager means 19-13 :LOL
6 years ago
hemalatha   84 yrs
5 years ago
neetu   84 years...
5 years ago
Manas Kumar Uttarkabat   84 yrs
5 years ago
Karthikeyan   Age of man = lcm of 12,6,7,1 => 84 yrs
5 years ago

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