Posted by **wan** on Saturday, March 16, 2013 at 7:14am.

when you reverse the digits of the number 13,the number increases by 18.how many other 2digit numbers increase by 18 when their digits are reversed ?

- math -
**Reiny**, Saturday, March 16, 2013 at 7:48am
let the unit digit be x and the tens digit be y

then the number is 10y + x

and the number reversed would be 10x + y

but 10x + y - (10y + x) = 18

9x - 9y = 18

x-y = 2

this works for:

3,1 ---> our given case

4,2

5,3

6,4

7,5

8,6

and 9,7

check 7,5

if x=7, y = 5

the original number was 57

number reversed 75

and 75 - 57 = 18

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