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Sophie's favorite number is a two-digit number. If she reverses the digits, the result is 36 less than her favorite number. Also, one digit is 3 more than double the other digit. What is Sophie's favorite number?

 Jun 16, 2023
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[10a + b] - [10b + a] ==36

 

a =2*b  +  3, solve for a, b

 

a==5   and   b ==1

 

Sophie's favorite number ==51

 Jun 16, 2023

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