Question

Sunil and Kafeel both have some oranges. If Sunil gives 2 oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives 2 oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?

Answer 1

Let Sunil has number of oranges
and Kafeel has y number of oranges.
In 1^st case (if Sunil gives 2 oranges to Kafeel) :
3(x - 2) = y + 2
⇒ 3x - 6 = y + 2
⇒ 3x - y = 8    ....(i)
In 2^nd case (if Kafeel gives 2 oranges to Sunil) :
x + 2 = y - 2
⇒ x - y = -4    ....(ii)
Subtracting eqn. (ii) from eqn. (i), we get
2x = 12
⇒ x = 6
⇒ 6 - y = -4
⇒ y = 10
Thus, Sunil has 6 oranges and Kafeel has 10 oranges.