The sum of two two digits is 68. Write the smaller two digits on the right side of the larger two digits to get a four digit number. Write the smaller two digits on the left side of the larger two digits to get a four digit number. It is known that the former four digits are 2178 larger than the latter four digits. Find the two two two digits Using 2-element linear equations

The sum of two two digits is 68. Write the smaller two digits on the right side of the larger two digits to get a four digit number. Write the smaller two digits on the left side of the larger two digits to get a four digit number. It is known that the former four digits are 2178 larger than the latter four digits. Find the two two two digits Using 2-element linear equations

The key is whether you can sort out your ideas!
Let X be the largest two digits and y the smallest two digits
x+y=68
Xx100+y-yx100+X=2178
The solution of the equation is: x = 45, y = 23