Find the values of x, y and z
xy and yx are 2-digit numbers, which together add up to the 3-digit number zxz.
xy + yx = zxz
The largest number that can be formed by adding two 2-digit numbers is:
99+99 = 198
Now if the number zxz is 3 digits, and the largest number it can be is 198, then we conclude that z = 1.
If z = 1 the sum result is 1x1.
The values of x and y that satisfy the equation xy + yx = 1x1 are as follows:
x = 2 and y = 9, ie 29 + 92 = 121
Answer: x = 2, y = 9, z = 1
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