The sum of the digits of a two digit number is 8. If the digits are reversed the new number is 36 less than the original number . what is the original number

Question

I need help with thus problem for class . I need it by tonight

Answer 1

Hi Liteccia,

 

The good news is that there aren't a whole lot of numbers that add up to 8.

 

There's 1 and 7, 2 and 6, 4 and 4 & 5 and 3.  So the two digit number can be 17, 26, 44, 53, 71, 62, 35.

 

If you reverse the digits, the new number is smaller than the original number.  That means that the original number can be 71, 62 or 35.

 

Now you can figure which of those numbers, when reversed, is 36 less than the original number.

 

Have fun.

 

Dan

Answer 2

xy  is the number

x+y=8 which means x=8-y

yx is the new number

10x+y=10y+x+36

x=8-y

substitute

10(8-y)+y=10y+8-y+36

80-10y+y=9y+44

80-9y=9y+44

80-44=9y+9y

36=18y

y=36/18

y=2

x+y=8 so x=6

62 is the number