Question

When a whole number is divided by 17, the answer is between 2/3 and 3/4. Find the number.

Could you guys please help me with this question?

Answer 1

Exactly between, or somewhere in the middle?

Answer 2

I hate ambiguity!

Answer 3

try to set up inequalities like

n/17 > 2/3
n/17 < 3/4

you will get a range of values

Answer 4

in this range of values, only one is an integer. this will be the answer

Answer 5

Thanks, @binarymimic but is there a possibly more simple way of doing this?

Answer 6

No, that's what I thought of as well.

Answer 7

Thanks anyways @ParthKohli and @binarymimic

Answer 8

Trial-and-error is another way though.

Answer 9

The approximation tricks.

Answer 10

Yes, probably not the fastest @ParthKohli

Answer 11

I did an approximation trick first and got \(12\).

Answer 12

Although I like formalized answers =)

Answer 13

Same @ParthKohli

Answer 14

the method described is pretty simple

n/17 > 2/3 means n > 34/3 means n > 11.33
n/17 < 3/4 means n < 51/4 means n < 12.75

so what integer is greater than 11.33 and less than 12.75

Answer 15

Yes, I like that way.

Answer 16

I'm not sure how I got those medals... I just noticed I did! :O

Answer 17

I got those medals before I answered 12.

Answer 18

yup! Ok guys, remember to close the question so that this flows more smoothly!