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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 2, 2023
 #1
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Sophie's favorite number is 85.

 Jun 2, 2023
 #2
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[10a + b] - [10b + a] ==36,     

a=2b + 3, solve for a, b

 

Use substitution to get: 

a =5 and b=1

 

And Sophie's favorite numbers is: 51

 Jun 2, 2023

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