Question

5 years ago depika was twice as old as deepu 5years later deepika age willbe 5 more than deepus age find theirpresentage

Answer 1

Answer:

The present age of Depika is 15 years and present age of Deepu is 10 years

Step-by-step explanation:

Let present age of Depika be $x$ years

Let present age of Deepu be $y$ years

5 years ago,

Age of Depika $= x - 5$ years

Age of Deepu $= y - 5$ years

Given that 5 years ago, depika is twice as old as deepu

Thus, we get

$x - 5 = 2(\,y - 5)\,\\\\x - 5 = 2y - 10\\\\ x - 2y = -5 ---- (1)$

5 years after,

Age of Depika $= x + 5$ years

Age of Deepu $= y + 5$ years

Given that 5 years after, depika will be 5 years more than deepu

Thus, we get

$x + 5 = 5 + (\,y + 5)\,\\\\x + 5 = y + 10\\\\ x - y = 5 ---- (2)$

Solving (1) and (2), we get

  x - 2y = -5

  x - y = 5

(-)  (+)    (-)

---------------------

    -y = -10

     y = 10

Putting value of y in (2), we get

$x - 10 = 5\\\\x = 15$

Thus, present age of Depika is 15 years and present age of Deepu is 10 years