Question

Rekha's mother is 5 times as old as her daughter Rekha. Five yrs later, rekha's mother will be three times as her daughter rekha. Find the present ages of Rekha and her mother ?

Answer 1

Let the age of Rekha be X

Let the age of Rekha's mother be y

A.T.Q

5x = y e.q.1

After 5 years

Age of Rekha =x + 5

Age of Rekha's mother = y + 5

3( x + 5) = y +5

15 + 3x = y + 5

3x - y = 5- 15

3x - y = -10 e q 2

5x = y e q 1

3x - y = -10 e q 2

Now, by equalising the coefficient method, we get

( 3x - y = -10)5

( 5x - y = 0) 3

15x - 5y = -50

15x - 3 y = 0

(-) (+) (-)

-2 y = -50

y = 50 / 2

y = 25

Now, by putting the value of "Y"in e q 1

5x = 25

x = 25/ 5

x= 5

So, the age of Rekha is 5 and her mother's age is 25.