Question

The difference btween ages of Sonal
& Payal is 12 years. The sum of me
reciprocals of their ages is 1/8 find their ages. sonal ages's elder to
Payal​

Answer 1

Answer:

let there ages are x and y

so

x-y=12

x+y = 1/8

add eq1 and eq2 and we get

2x = 12.125

so x= 6.6025

then we put the value of x in eq 1

6.6025-y=12

y=6.6025-12

y=-5.3975

Step-by-step explanation:

Answer 2

Payal's age is 12 years and Sonal's age is 24 years

Step-by-step explanation:

Let Sonal's age be x and Payal's age be y

We are given that the difference between age of Sonal and Payal is 12 years

So,$x-y=12$ --- A

We are also given that The sum of reciprocals of their ages is 1/8

So, $\frac{1}{x}+\frac{1}{y} = \frac{1}{8}$ -----B

Substitute the value of x from A in B

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

$\frac{2(y+6)}{y(12+y)}=\frac{1}{8}$

y=-8,12

Since age cannot be negative

So, y = 12

x=12+y=12+12=24

So, Payal's age is 12 years and Sonal's age is 24 years

#Learn more:

Ages of sonal and komal are in the ratio of 6:5. If 6 year before, age of sonal was 30 years, find the age of komal 5 years hence.

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