Question

Vivek is older than Kishor by 5 years. The sum of the reciprocals of their ages is 1/6
Find their present ages.​

Answer 1

Answer:

Consider Vivek's age as = x

and Kishor's at as = x+5

now, as they mentioned there reciprocals sum is

= 1/6

so, let us take the reciprocals of there age

(1/x+5) + (1/x) = 1/6

• (x+5 + x/ x²+6x) = 1/6

• 6(2x+5) = 1(x²+6x)

• 12x+30 = x²+6x

• x²+6x-12x-30 = 0

• x²-6x-30 =0

you can solve the rest of it by splitting the middle term

I am sorry I can't type more than this