Question

addition of digits of two digit number is 7 if integer digit number is 9 more than the original find the original number​

Answer 1

Answer:

The sum of the digits of a two digit number is 14. When we interchange the digits, it is found that the resulting new number is smaller than the original number by 18.

Answer 2

Correct Question:-

Addition of digits of a two digit number is 7. If we interchange the digits, the number obtained is 9 more than the original number. Find the original number.

Answer:-

Let the digit in unit place be x

And tens place be 'y'.

Then original number will be 10y+x

Given:

→ x + y = 7

→Number after interchanging the digits = Original number + 9

️‍️️‍️️‍️10x+y = 10y+x+9

Solution:-

→10x + y=10y+x+9

→ 9x = 9y+9

→ 9x-9y=9

→ x-y=1

___________________

x + y = 7

x - y = 1

+

````````````

→2x=8

→x=4

____________________

Substituting...

→x-y=1

→4-y=1

→y=3

______________________

Original number was 10y+x

Substituting the values, we get,

→10(3)+4

→30+4

→34

$\qquad$

Hence, the number is 34.