the sum of the digits of a two digit number is 9 if the number formed by reversing the digit is less than the original number by 9 find the original number
Answers
Answer:
14,975the sum of the digits of a two digit number is 9 if the number formed by reversing the digit is less than the original number by 9 find the original numberthe sum of the digits of a two digit number is 9 if the number formed by reversing the digit is less than the original number by 9 find the original number
Step-by-step explanation:
the sum of the digits of a two digit number is 9 if the number formed by reversing the digit is less than the original number by 9 find the original number
Answer:
Let the 10's place digit be x
then the unit's place digit will be =9-x (since their sum is 9)
So the original number = 10x + 9 - x = 9x + 9
After reversal mew number becomes
10 (9 - x) + x = 90 - 9x
By the given condition
9 x + 9 - 90 + 9 x = 9
18 x = 90
x = 90 /8 = 5
So the original number
9 x + 9 = 9 × 5 + 9 = 54