(m+n)(x+8)=700
mx+n(x+8)=556
The solution is m= 18.
The equation can be converted into
( 18+n)(x+8)=700
According to the meaning of the question, |m-n|≤ 1 means that the possible values of n are 17, 18, 19, and the possible values of m+n are 35, 36 and 37.
Because x+8 is a positive integer, only 35 of the three numbers can be divisible by 700, so take M+N=35 and N= 17 and substitute them into the above formula to solve the problem.
x= 12
x+8=20
The length and width of each brick are 20cm and 12cm respectively.