stuck on this problem. i started with x-2y+4z=23.

Question

here is the problem:
Three men, each having denarii, found a purse containing 23 denarii. The first man said to the second, “If I take this purse, I will have twice as much as you.” The second said to the third, “If I take this purse, I will have three times as much as you.” The third man said to the first, “If I take this purse, I will have four times as much as you.” How many denarii did each man have?

Answer 1

Try this, which is a better rendering of the given statements:

x+23 = 2y
y+23 = 3z
z+23 = 4x

Answer 2

I'LL TRY THIS THANKS