Question

In a 2 digit number the sum of digits is 7 the difference of 2 digits number and number obtained by reversing the digits is 9 .then find the number

Answer 1

Answer: 34

Step-by-step explanation:

let the digit at one's place be x

then digit at tens place would be 7-x

the value of the no is 10(7-x)+x=70-10x+x=70-9x

when we interchange the digits, the value would be: 10x+7-x=9x+7

according to question,

70-9x-(9x+7)=9

⇒70-9x-9x-7=9

⇒63-18x=9

⇒63-9=18x

⇒72=18x

⇒72/18=x

⇒4=x

⇒x=4

the other digit was 7-x=7-4=3

so the no. would be 34