Question

vivek is older than kishor by 5 year .the sum of the reciprocals of their ages is 1/6.Find their present age

Answer 1

let age of vivek be x and kishor be y
according to the question
x=y+5 .....eq.1
and also,
$\frac{1}{x} + \frac{1}{y} = \frac{1}{6}$
=>x+y=6 ....eq.2
put value of x in eq.2
x+y=6
=y+5+y=6
=2y=1
y=1/2
age of vivek
=5+1/2=x
(10+1)/2=x
=5.5 years


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Answer 2

★ HERE IS YOUR ANSWER ★

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Let Kishor's present age be x years
So, Vivek's present age will be (x + 5) years

Now, According to the question

=> 1/x + 1/ x+5 = 1/6
=> x + 5 + x/ x (x + 5) = 1/6
=> 2x + 5/x² + 5x = 1/6
=> 6 (2x + 5) = x² + 5x
=> 12x + 30 = x² + 5x
=> x² - 7x - 30 = 0
=> x² + 3x - 10x - 30 = 0
=> x ( x + 3 ) - 10 ( x + 3 ) = 0
=> ( x + 3 )( x - 10 ) = 0
=> x = -3 or x = 10

As -3 can't be the age of Kishor as age can't be negative.

So, Kishor's age is 10 years.

and Vivek's age is 15 years.

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