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.