The number whose sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed is 32
Equation
- x = tens digit
- y = ones digit
the number can be expressed as 10x + y
x + y = 5
- nine is subtracted from the number
(10x+y) - 9
= 10y+x
x + y = 5
9x - 9y = 9
x + y = 5
x - y = 1
Add the equations
2x = 6
x = 6/2
x = 3
substitute into
x + y = 5
3 + y = 5
y = 5 - 3
y = 2
Therefore, the unknown number is 32.
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