Mrs.Rossi wrote the following clues for a mystery number:
•It is a 4 digit number
•The tens are double the ones.
•The thousands are double the tens.
•The sum of the digits is 19.
What number is it?
8542
33559
i need help with mystery numbers
43,099
It is a 3 digit number the tens are double the ones the hundred are double the tens the sum of the digit is 14 what is the number
To find the mystery number, let's break down the clues one by one and use the information to determine the value of each digit.
1. It is a 4 digit number: This means that the number is in the form of ABCD, where A, B, C, and D represent the thousands, hundreds, tens, and ones places respectively.
2. The tens are double the ones: Let's assume that the ones digit is X. According to this clue, the tens digit would then be 2X.
3. The thousands are double the tens: Continuing from the previous clue, if the tens digit is 2X, then the thousands digit would be 2 times the tens digit, which is 2(2X) or 4X.
4. The sum of the digits is 19: This clue provides us with information about the total sum of all the digits. We can write an equation to represent this: A + B + C + D = 19.
Now, let's substitute the values obtained from the previous clues into the equation:
4X + 2X + 2X + X = 19
Combining like terms, we get:
9X = 19
To solve for X, we divide both sides of the equation by 9:
X = 19/9
Since X should be a whole number, we round 19/9 to the nearest whole number, which is 2.
Now that we have the value of X, we can determine the values of the other digits using the previous clues:
Ones digit (D) = 2
Tens digit (C) = 2X = 2 * 2 = 4
Hundreds digit (B) = X = 2
Thousands digit (A) = 4X = 4 * 2 = 8
Therefore, the mystery number is 8242.