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The sum of a two digit number is 5. If you reverse the digits the difference of the original number minus the number is nine what is

Home/Math/The sum of a two digit number is 5. If you reverse the digits the difference of the original number minus the number is nine what is

The sum of a two digit number is 5. If you reverse the digits the difference of the original number minus the number is nine what is

Question

The sum of a two digit number is 5. If you
reverse the digits the difference of the original number minus the number is nine what is the original number

## Answers ( )

Answer:32

Step-by-step explanation:Solution ,

here ,

let the two number be x and y

So according to the question ,

x+ y = 5______¡

So,

10x + y – 9 = 10 y + x

or, 9x – 9y = 9

or, 9(x- y ) = 9

or, x- y = 1______¡¡

From ____¡ and _____¡¡

x + y = 5

+ x – y = 1

_____________

2x = 6

or, x = 3

then , keeping the value of x in _______¡

x+ y = 5

or, 3 + y = 5

or, y = 5-3

or, y = 2

So, the reqired number is 32