Question

The difference between payal and sonal age is 12years. The sum of there reciprocals is 1/8.find there ages (sonal is elder to payal

Answer 1

Problem on Ages.

Step-by-step explanation:

let the age of Payal be equal to "P"

and the age of Sonal be equal to "S"

Now, according to the question, S-P = 12

and $\frac{1}{S} + \frac{1}{P} = \frac{1}{8}$

Now, S = P + 12 and putting this value of S in the above equation, we get

$\frac{1}{P+12} + \frac{1}{P} = \frac{1}{8}$

⇒ $P^{2} - 4 P - 96 = 0$

Solving this, we get P = 12

and therefore S = 24.