Nina is 4 years older than Sam. Next year Nina is 3 years older. How old are they?

4*S + 1 = 3*S + 3 ====> S = 2.

Answer. Sam is 2 years old. Nina is 4*2 = 8 years old.

To solve this problem, let's define the variables:

- Let's call Sam's age "S".
- Let's call Nina's age "N".

According to the information given:
- "Nina is 4 years older than Sam" means N = S + 4.
- "Next year Nina is 3 years older" means N + 1 = S + 1 + 3.

Now, let's substitute the first equation into the second equation:
(S + 4) + 1 = S + 1 + 3

Simplifying the equation:
S + 5 = S + 4

Now, we can cancel out the "S" term on both sides:
5 = 4

This equation is not possible. It means there is no valid solution to this problem. It seems there might be a mistake in the original statement of the problem. Double-check the information provided or clarify if there are any additional details.

That what I thought. Thank you.

Nina = sam + 4

(Nina +1) = (Sam +1) +3

Sam + 4 + 1 = Sam + 4

5 = 4 for a final answer which is a false statement; therefore there is no solution. Something is wrong with the problem as written.