Sushma was thrice as old as Poonam 6 years back. Sushma will be 5/3 times as old as Poonam 6 years hence. How old is Poonam today? 6 বছর আগে সুষমার বয়স পুনম-এর বয়সের তিনগুণ ছিল। 6 বছর পরে সুষমার বয়স পুনম-এর বয়সের 5/3 গুণ হবে। বর্তমানে পুনম-এর বয়স কত?

Explanation:
Let the present age of Poonam = x
Let the present age of Sushma = y

6 years ago:
\( y - 6 = 3(x - 6) \)
\( y - 6 = 3x - 18 \)
\( y = 3x - 12 \) …… (1)

6 years hence:
\( y + 6 = \frac{5}{3}(x + 6) \)
\( 3y + 18 = 5x + 30 \)
\( 3y = 5x + 12 \) …… (2)

Substitute (1) into (2):
\( 3(3x - 12) = 5x + 12 \)
\( 9x - 36 = 5x + 12 \)
\( 4x = 48 \)
\( x = 12 \)

Poonam’s present age = 12 years
Correct Answer: Option C (12)