Question

Sum of the digit of a two digit number is 9 when we interchange the digits it is found that the resulting number is greater than the original number by 27 what is the two digit number

Answer 1

Answer:

Let the 2 digits be x, y

x+y=9

y=9-x

The new digits are x, 9-x

Value of the number=10×x+(9-x) =9x+9

When we interchange the digits the new value is 27 more than the one before

New digits=9-x, x

Value=10(9-x) +x=90-9x

90-9x=9x+9+27, 18x=54, x=3, 9-x=6

The two digit number is 36