Problema Solution
The sum of the digits of a two-digit number is 12. The difference of the digits is 2. Find the number if the units digit is larger than the tens digit.
Answer provided by our tutors
let
x = the tens digit
y = the units digit
the two-digit number is 10x + y
the sum of the digits of a two-digit number is 12
x + y = 12
the difference of the digits is 2 and y > x
y - x = 2
by solving the system of equations
x + y = 12
y - x = 2
we find
x = 5
y = 7
the number is 5*10 + 5 = 57
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