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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»

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.


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