Answer:
The possible numbers are:
8,640.125
8,604.125
8,622.125
8,613.125
8,631.125
Step-by-step explanation:
1st clue: It is in between 8,500 and 8,800
Since it is in between 8500 and 8800, we are sure that the thousands digit is 8.
2nd Clue: When multiplied by 8, the result is a whole number.
For a decimal number to be made a whole number by multiplication, we need to have no zero in the number (satisfying Clue 6).
Since we are multiplying by 8, the decimal has to end in 5.
The possible options are:
8 times 0.5
8 times 0.25
8 times 0.125
From the 5th Clue: The digit in the hundredths place is 200% of the digit in the tenths place
Furthermore, From clue 3, we know there is a thousandth digit, so we choose 0.125.
3rd Clue:The digit in the hundreds place is 3/4 the digit in the thousandths place.
Digit in Thousandth Place = 5
Digit in Hundreds place=3/4*2=6
Our number now is:86**.125
From the 4th Clue: The sum of all the numbers is 26
8+6+1+2+5=22
26-22=4
The other two numbers sum up to 4.
Since no other rule is given, we have three pairs of numbers that sun up to 4.
2,2 ,4,0 and 3,1.
We try to get different arrangement of these numbers.
The possible numbers are:
8,640.125
8,604.125
8,622.125
8,613.125
8,631.125
