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. Douglas writes down his favorite number, which is a two-digit positive integer. He then turns the number into a three-digit number by writing a 7 at the end of his favorite number. This new number is 385 more than Douglas’s favorite number. What is Douglas’s favorite number?
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his favorite number let it be xy

He then turns the number into a three-digit number by writing a 7 at the end of his favorite number = xy7

xy +385 = xy7

y +5= 7 , x+8= y+10

y= 7 -5 = 2

x + 8 = 2 + 10

x = 12 -8 = 4

his favorite number is 42
by Wooden (4,352 points)

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