Question

6. A number consists of two digits whose sum is 9. If 9 is added to the

number its digits are inter changed. Find the number.​

Answer 1

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Answer 2

A number consists of two digits whose some is 9.

I9 is added to the number its digits are inter changed.

To find :

The number =?

Step-by-step explanation :

Let the digits at ones place be x

Then the digits at tens place = 9-x (sum of

two digits is 9)

Therefore the number = 10 (9 - x + x)

= 90 - 10x + x

= 90 - 9x

Now,

Number obtained by reversing the digits = 10x + 9 - x = 9x+9

It is given if 9 is added to the number.,it's digits are interchanged.

➮ 90 - 9 x + 9 = 9x + 9

➮ 99 - 9x = 9x + 9

➮ 99 - 9 = 9x + 9x

➮ 90x = 18 x

➮ x = 90/18

➮ x = 5

Therefore, we get the value of x = 5.

And tens place= 9 - x = 9 - 5 = 4

Thus , the number is 45.

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