19 Sep '09 06:162 edits

It is possible to place positive integers into the twenty-one vacant squaress of the 5x5 square shown below so that the numbers in each row and column form an arithmetic sequence.

*.............. *.............. *.............. *.............. *

*.............. 74............ *.............. *.............. *

*.............. *.............. *.............. *.............. 186

*.............. *.............. 103.......... *.............. *

0.............. *.............. *.............. *.............. *

The periods are only there so it lines up nicely. I hope you guys get what I'm asking ðŸ˜•

replace each asterix with a number and explain how you did it.

*.............. *.............. *.............. *.............. *

*.............. 74............ *.............. *.............. *

*.............. *.............. *.............. *.............. 186

*.............. *.............. 103.......... *.............. *

0.............. *.............. *.............. *.............. *

The periods are only there so it lines up nicely. I hope you guys get what I'm asking ðŸ˜•

replace each asterix with a number and explain how you did it.