Question

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

Answer 1

Answer:

Kishor: 10

Vivek: 15

Step-by-step explanation:

let Kishor's age = x years

then Vivek's age = x + 5 years

1/x + 1/x+5 = 1/6

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

2x+5 / x^2+5x = 1/6

30 + 12x = x^2+5x

x^2-7x+30 = 0

x^2-10x+3x+30 = 0

x(x-10) + 3(x-10) = 0

(x+3) (x-10) = 0

x = -3, 10

but age cannot be negative

Therefore

10, 10+5=15 are Kishor's and Vivek's ages respectively

/ is divide

^ is power

Answer 2

Answer:

hope it helps...........