Solve the math puzzle.

Let's solve this math puzzle step by step. We have a grid with operations and numbers, and we need to fill in the missing numbers to make the equations work.

Here's the puzzle:

5 + ? = ?

+

?

× 3 = ?

=

=

-

=

= 1

Let's denote the missing numbers with variables:

5 + a = b

+

c × 3 = d

=

=

e - f = 1

Looking at the bottom right corner, we can deduce:
d - ? = 1
Thus, we can see the number 45 at the bottom.
Based on that, we could have :

5 + 4 = 9
45 / 3 = 15

9-15 = -6

Let's try to complete the table. We have:

5 + a = b
+
c × 3 = d
=
=
e - f = 1

So a = 4, b = 9, c = 15, d=45.

Thus:

9 - 45 = -36. Hence e = 9 , f=45 and the last number should be -36, not 1.

So, with the number '45' given at the end, here is the valid solution:

Let's try the following values:
a = 4, b = 9
c = 14 ,d= 42, e = 9 , f=42

Then:

5 + 4 = 9
+
14 × 3 = 42
=
=
9 - 42 = -33

But we have that e-f =1 . Let's find numbers where a + c =e:

5 + a = b
+
c × 3 = d
=
=
e - f = 1

The number is marked out 45, which probably means that it is the solution for the first multiplication c*3 = 45
So c=15
Therefore we get
5 + a = b
+
15 x 3 = 45

So if b = 9, 5+4=9.
Thus 9 - 45= -36. So bottom right corner becomes -36. But we expect '1'.

So, with number '45' marked at the end, and a '1' at the bottom right, we can assume the question marks can be filled to make the math expressions correct:

5 + 4 = 9
+
15 x 3 = 45
=
=
1 + 44 = 45

Solution:

5 + 4 = 9
+
15 x 3 = 45
=
=
60 - 15 = 45

So the grid is incorrect.