PLEASE HELP ASAP?

2020-09-21 9:19 pm
Ms. Gardner is thinking of a number.
The number is not .
The sum of its digits is divisible by .
The number is a multiple of .
It is greater than 45.
It is a multiple of .
It is less than 7823.
What is the​ number? Is more than one answer​ possible?

PLEASE HELP I AM SO CONFUSED
更新1:

Ms. Gardner is thinking of a number. The number is not . The sum of its digits is divisible by . The number is a multiple of . It is greater than 45. It is a multiple of . It is less than 7 times 8 plus 23. What is the​ number? Is more than one answer​ possible?

更新2:

The number is not odd. The sum of its digits is divisible by 7. The number is a multiple of 13. It is greater than 4 times 5. It is a multiple of 4. It is less than 7 times 8 plus 23. What is the​ number? Is more than one answer​ possible?

回答 (4)

2020-09-21 9:23 pm
The number is not, what?
The sum of its digits is divisible by, what?
2020-09-21 11:12 pm
The number is a multiple of 13, and it is a multiple of 4.
Then, the number is a multiple of 13 × 4 = 52
Hence, let 52n be the number where n is a natural number.
Note that the number must be even, not odd.

The number is greater than 4 times 5, and less than 7 times 8 plus 23.
4 × 5 < 52n < 7 × 8 + 23
20 < 52n < 79
20/52 < n < 79/52
Since n is a natural number, n = 1

Hence, the number = 52

(Check: 5 + 2 = 7 is divisible by 7.)
2020-09-21 11:10 pm
The number is not odd.

The sum of its digits is divisible by 7.The number is a multiple of 13.It is greater than 4 times 5.It is a multiple of 4.It is less than 7 times 8 plus 23.What is the​ number? Is more than one answer​ possible?
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If by "not odd" means no decimals.

The solution is 4*13= 52

52*4 doesnt match the second restriction, and 52*13 is greater than the last restriction.

so there is one only solution. 52
2020-09-21 9:46 pm
With so much of missing info, looks like Ms. Gardiner has dementia :-)


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