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Let the digit be xy
x + y = 10 ........................... (i)
When reversed the number becomes yx.
Get the total value for the original and reversed numbers.
10x + y + 54 = 10y + x
54 = x - 10x + 10y - y
54 = -9x + 9y .................. (ii)
Solve the equation (i) and (ii)
9(x + y = 10)
-9x + 9y = 90
-9x + 9y = 54 + (add eqns)
18y = 144
y = 8;
x + 8 = 10;
x = 2
The number is 28.
johnmulu answered the question on June 8, 2017 at 12:33
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