Problema Solution
When you reverse the digits in a certain two-digit number you decrease it's value by 45.Find the number if the sum of it's digits is 5.
Answer provided by our tutors
let
x = the unit digit
y = the tens digit
the two digit number is: x + 10y
when you reverse the digits you get the number: y + 10x
when you reverse the digits in a certain two-digit number you decrease it's value by 45:
y + 10x = x + 10y - 45
the sum of it's digits is 5:
x + y = 5
by solving the system of equations:
y + 10x = x + 10y - 45
x + y = 5
we find:
x = 0
y = 5
click here to see the step by step solution of the system of equations:
the number is: 0 + 5*10 = 50.