一道4元选数题,a.b.c.d为下列数字中任意一数11.15.16.17.18.20.21.23.24.25.31.32.37.41.45.47.48.63.满足下列等式11+y=ay+z=b11+z=c11+y+z=dy.z为整数,且小于30大于等于1.试求满足条件的abcd的所有组合.

Question

一道4元选数题,
a.b.c.d为下列数字中任意一数11.15.16.17.18.20.21.23.24.25.31.32.37.41.45.47.48.63.
满足下列等式11+y=a
y +z=b
11+z=c
11+y+z=d
y.z为整数,且小于30大于等于1.
试求满足条件的abcd的所有组合.

Answer 1

a b c d y z
17 20 25 31 6 14
18 20 24 31 7 13
21 20 21 31 10 10
24 20 18 31 13 7
25 20 17 31 14 6
18 21 25 32 7 14
20 21 23 32 9 12
23 21 20 32 12 9
25 21 18 32 14 7