Let x and y represent the tens digit and ones digit of a two digit number, respectively. the sum of the digirs of a two digit numbet is 9. if the digits are reversed, the new number is 27 more than the original number. what is the original number? *write a system of equations *solve the systems of equations

The Original Number is 36

Step-by-step explanation:

Given:

y is the number in units place

x is the number in tens place

Original Number =

is equation 1

Now after interchanging the digits

New number =

New Number = 27 + Original Number

Substituting Valus in above equation we get.

let this be equation 2

Adding equation 1 and 2 we get

Substituting value of y in equation 1 we get

x=3 and y=6

Original Number =