## 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. I

Question

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

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2021-11-20T19:33:18+00:00
2021-11-20T19:33:18+00:00 1 Answer
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## Answers ( )

Answer:The Original Number is 36Step-by-step explanation:Given:

y is the number in units place

x is the number in tens place

Original Number =

is equation 1Now after interchanging the digits

New number =

New Number = 27 + Original Number

Substituting Valus in above equation we get.

let this be equation 2Adding equation 1 and 2 we get

Substituting value of y in equation 1 we get

x=3 and y=6

Original Number =