Question

A number consist of three digits.The sum of its digits is 18 and middle digit is difference of two digit.If 495 is added to that number then it's digits are reversed. Find the number​

Answer 1

Answer:

459

Explanation

Let 100th digit be x and unit digit y .

Given middle digit is difference or y - x

Also sum of digits = 18

x + y + y - x = 18

2y = 18 or y = 9

So number will be

$100x +10 (9 - x) + 9$

Given adding 495 reverse the digits

$100x + 10(9 - x) + 9 + 495 = 9(100) + 10(9 - x) + x \\ 99x = 900 - 504 = 396 \\ x = \frac{396}{99} = 4$

And middle digit = 9 - 4 = 5

So number will be 459