Question

The sum of the digits of a 2 digit number is 14. If the number formed by reversing the digits is less than the original number by 36, find the original number.

Answer 1

Answer:

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Answer 2

Answer:

Original number- 95

Step-by-step explanation:

Let x and y be the two digits of the number.

x+y=14---> eq.1

Original number = 10x+y

Reversed number =10y+x

10x+y=10y+x+36

9x-9y-36=0

x-y=4---> eq.2

Using elimination method in eq. 1&2

x=9

9+y=14

y=5

So 10x+y= 95(original number)