Neha and Sunil have some apples. Neha says to Sunil, "If you give me 12 of your apples, I will have twice the number of apples left with you". Sunil replies, "if you give me 12 of your apples I will have the same number of apples left with you". Find the the number of apples with Neha and Archana separately.

Neha and Sunil have some apples. Neha says to Sunil, "If you give me 12 of your apples, I will have twice the number of apples left with you". Sunil replies, "if you give me 12 of your apples I will have the same number of apples left with you". Find the the number of apples with Neha and Sunil separately.

Let's say Neha has N apples and Sunil has S apples.

From Neha's statement, we know that if Sunil gives her 12 apples, she will have twice as many apples as Sunil has left. So, we can set up the equation:

N + 12 = 2(S - 12)

Simplifying the equation, we get:

N + 12 = 2S - 24

N = 2S - 36

Now, let's consider Sunil's statement. If Neha gives him 12 apples, they will have the same number of apples. So, we can set up the equation:

S + 12 = N - 12

Substituting the expression for N from the previous equation, we get:

S + 12 = (2S - 36) - 12

S + 12 = 2S - 48

S = 60

Now that we know Sunil has 60 apples, we can find Neha's number of apples:

N = 2S - 36

N = 2(60) - 36

N = 120 - 36

N = 84

So, Neha has 84 apples, and Sunil has 60 apples.