Question

I am a three digit number the digits total is nine when added together all of my digits are odd numbers the hundreds digit is less than the tens digit but more than the ones digit what is the mystery number

Answer 1

Answer:

The mystery number is 351.

Step-by-step explanation:

Let the numbers be xyz.

• The digits total is 9; That is, x+y+z = 9

• All of the digits are odd numbers; That is, the digits will be 1,3,5,7 and / or 9.

Since the digits total is 9, then '9' cannot be among since summing it with other digit(s) will be greater than 9. Hence, '9' cannot be among the digits.

Also, '7' cannot be among the three digit number, since adding 7 to any two of the remaining three digits (that is, 1, 3, and / or 5) will make the total greater than 9. Hence, '7' also cannot be among the digits.

The remaining digits are 1,3 and 5; which all sum up to 9. That 1 + 3 + 5 = 9.

• The hundreds digit is less than the tens digit, that is, x is less than y.
• But it (hundreds digit) is more than the ones digit, that is, x is more than z. Hence, x is 3, since '3' is the only number which is less than one of the numbers and as well more than one of the numbers. If x is less than y, then y is 5 and then z is 1. Hence, xyz becomes 351.

Hence the mystery number is 351.