Question

The number obtained by reserving a two digit number is 18 more than the origin number if the sum of its digit is 8, find the number


pls tell the correct answer​

Answer 1

The sum of the two digit number is 6 on reversing its digits the new number is 18 less than the original number find the number?

Can you please learn how to use punctuation before posting on Quora again?

Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.

Digit sum of a two digit number is 6:

x+y=6

Reverse the digits and you get 18 less than the original value:

10y+x=10x+y-18

Now let's solve:

y=6-x

10(6-x)+x=10x+(6-x)-18

60-10x+x=10x+(6-x)-18

60-9x=9x-12

72=18x

x=4

y=6-4

y=2

So our original number was 42. Sum of digits is 6. Swap the order of the digits to make 24, and you have a number 18 less than the original number.