I am a three-digit number. I am divisible by 6. My middle digit is a prime number. The sum of my digits is 9. I am between 400 and 500. My digits are in descending order. What number am I? Show your working.
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As the number is between 400 and 500 the hundreds digit will be 4 , That means , 4xx
The middle digit is a prime number , the prime numbers between 1 to 9 are
2 , 3 , 5 , 7 So ,
42x , 43x , 45x , 47x
The digits are in descending order so when it comes to descending order
43x
The sum of digits is 9 So ,
4 + 3 + x = 9 - 7 = 2
So the number is 432
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