Question

已知x,y均为整数,且lx-yl+lx-3l=1,求x+y的值.(写清解题过程).

Answer 1

已知x,y均为整数,且lx-yl+lx-3l=1,

(1) x=y |x-3|=1 x=4或x=2

x=4 y=4 x+y=8

x=2 y=2 x+y=4

(2) |x-y|=1 |x-3|=0

x=3 y=2或y=4

x+y=5或7