Nadia has 20 more postcards than Pete. After Nadia gives Pete some postcards, Pete has 2 more postcards than Nadia. How many postcards does Nadia give to Pete?

In this question, we are asked to calculate the number of postcards Nadia gave to Pete, given the initial difference between their number of postcards and the later difference after the gifting.

We proceed as follows:

Firstly, we know that Nadia had 20 more postcards than Pete. If we say the variable P should represent the number of post cards Pete had, this means Nadia had a total of 20 + P post cards initially.

Now, Nadia have Pete some number of postcards, let’s say x. This made Pete had two more than Nadia.

Let’s try and come up with mathematical expressions here.

Pete was given some more, meaning want Pete has now is P+x and this is 2 more than what Nadia had initially. This mathematically means;

(P+x) - (P+20) = 2

x -20 = 2

x = 20+2 = 22

This means that Nadia gave Pete 22 postcards