Problema Solution
The sum of the digit of a two-digit number is 15. If the number formed by reversing the digits is less than the original number by 27, find the original number.
Answer provided by our tutors
let the original number be 10x + y, where is x is the tens digit, y is the units digit
the sum of the digit of a two-digit number is 15
x + y = 15
the number formed by reversing the digits is less than the original number by 27
10y + x = 10x + y - 27
by solving the system of equations
x + y = 15
10y + x = 10x + y - 27
we find
x = 9
y = 6
click here to see the step by step solution of the system of equations
10*9 + 6 = 96
the original number is 96.