Question

Use the clues to find the code number:
It is between 8,500 and 8,800.
When multiplied by 8, the result is a whole number.
The digit in the hundreds place is ¾ the digit in the thousands place.
The sum of all digits in the number is 26.
The digit in the hundredths place is 200% of the digit in the tenths place.
There are no zeros in the decimal places.
What code numbers fit these clues?
Explain how you used all of these clues to find these possibilities.
Write one more clue so that there is only one possible code number.

Answer 1

Algebra

The code number is 8639

Step-by-step explanation:

Let the number be ABCD

Since code number is between 8500 and 8800,the number in thousand place A = 8.

The digit in hundreds place B is $\frac{3}{4}$ × A = 6

Digit in hundreds place B is 200% of C ,so B= 2×C

So C = 6÷2 = 3

Sum of digits is 26

A+B+C+D = 26

8+6+3+D = 26

D = 26 -17

D = 9

Hence,  the code number is 8639