Question

The sum of the digits of a two digit number is 12.If the new number formed by reversing the digits is grater than the original number by 54 find the original number. Check your solution​

Answer 1

Answer:

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Step-by-step explanation:

Let the tens digit is’ y ‘and unit digit is ‘x’

The number is 10y+x

Given x+y=12 ………………..1

10y+x-54=10x+y

-9x+9y=54

-x+y=6 ………2

solving 1 and 2, we get 2y=18

y=9

x+9=12

x=3

The original number is 10(9)+3=93

The reversed number is 39 [93–54=39]