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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 1 less than double the other digit. What is Sophie's favorite number?

 Aug 5, 2023
 #1
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Let the smaller digit =  d

Let the larger digit = 2d - 1

 

So the larger number can be expressed as  10(2d-1) + d

And the smaller number can be expressed as 10d + 2d -1

 

And the difference  between these = 36 .....so......

 

[10(2d -1) + d]  - [ 10d + 2d -1] =  36          simplify

 

20d -10 + d - 10d -2d + 1  = 36

 

9d - 9 = 36

 

9d = 36 + 9

 

9d =45

 

d = 45/9 = 5

 

2d -1  =  9

 

Her favorite number =  95   and the other is 59  and their difference = 36

 

cool cool cool

 Aug 5, 2023
 #2
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Sorry Im so late but tysm your my hero smiley

Guest Aug 6, 2023

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