A number consists of two digits whose sum is 10. If 18 is subtracted from the number, its digits are reversed. Find the number.

Let us assume the ones digit be x and the tens digit be y

According to the question, we have


x + y = 10 …(i)


(10y + x) – 18 = 10x + y


x – y = – 2 …(ii)


Now, adding (i) and (ii) we get:


2x = 8



Now by putting the value of x in (i), we get


4 + y = 10


y = 10 – 4


y = 6


Hence the required number is 64


10