Problema Solution
the sun of the digits of a certain two digit number is 9. when you reverse its digits yo7 increase the number by 9 what is the number
Answer provided by our tutors
let
the digits of the number be x and y
the number is 10x + y
if we reverse the digits we get the number 10y + x
the sum of the digits of a certain two digit number is 9
x + y = 9
when you reverse its digits you increase the number by 9
10y + x = 9 + 10x + y
by solving the system of equations
x + y = 9
10y + x = 9 + 10x + y
we find
x = 4
y = 5
click here to see the step by step solution of the system of equations
the number is 45.