Where x and y are positive integers, 20 > x > y ≥ 1, according to the meaning of the question:
2x+5y=97
y= 97-2x5= 20-2x+35
Because y is a positive integer, 2x+35 is also a positive integer, 1 < x < 20, x is a positive integer, x > y;;
According to x > y, we can get 20-2x+35 < x, x > 1367.
∴20>x≥ 14
① When x= 14, 15, it is irrelevant;
② When x= 16, y =13;
③ When x= 17, 18, 19, it is irrelevant.
Therefore, only when x= 16 and y= 13 can the problem be satisfied.
So the answer is 16, 13.
Hope to adopt ~