Question

The sum of digits of a two digits number is 9 , the new number formed by reversing the digits is greater than the original number by 45 , Find the original number​

Answer 1

Answer:

27

Step-by-step explanation:

2 + 7 = 9

Reverse of 27 is 72

72 - 27 = 45

Answer 2

Answer:

a+b=9⟹a=9−b

10a+b+45=10b+a

⟹10(9−b)+b+45=10b+9−b

⟹90−10b+b+45=9b+9

⟹(135−9b)+9b=(9b+9)+9b

⟹(18b+9)−9=135−9

⟹18b18=12618

→b=7 and a=2

27. _ answer

Proof:

2+7=9

27+45=72

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