Question

the sum of the digit of a 2 digit number is 6 . on reserving its digit, the number is 18 less than the original number . find the number​

Answer 1

Answer:

42 <-> 24

Step-by-step explanation:

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.