Question

If a number with 3 digits divided by 13 gives a certain number(y) +11, divided by 11 gives a certain number (z)+ 9 and divided by 9 gives a number (q) +7, what is the value of the 3 digit number? My English might not be perfect and stuff but gosh, halp please been trying for the last 2 hours

Answer 1

a number with 3 digits divided by 13 gives a result +11
should be as simple as 13 * 11 = 143

Answer 2

9*11 = 99
9*7 = 63

Answer 3

but i think the problem is asking for the same # for all 3 problems...

Answer 4

Yeah, the x Is supposed to be the same for all 3 of them.. which leads me to a problem with 4 variables that I can't solve for the life of me

Answer 5

I really do not see 4 variables..what topic of math is this for?

Answer 6

I'm not sure to be honest, I think it was some way for our teacher to see how far we've gotten with our studies. I might not have been clear though, by "A result +11" I meant the result as in a number + 11, not that the result is 11. Sorry, I'll edit that now

What I got with 4 variables was:
X/13 = Y + 11
X/11 = Z + 9
x/9 = Q + 7

Answer 7

Actually,
X=13A+11=11B+9=9C+7
where A,B and C are integers

Answer 8

Since 9,11 and 13 has no common factors this question should be too hard.
Let
X = 13*11*9*A + 13*11*B + 13*9*C + 11*9*D

Answer 9

Now, we divide X by 13 we should get 11 as remainder
So, X/13= 11*9A +11*B +9*C + (11*9*D/13)

Answer 10

(99 *D )mod 13=11
we need to solve this to find D

Answer 11

Similarly ,
(13*11*B) MOD 9 =7
(13*9*C) MOD 11=9

Answer 12

So, you should get after solving that
B=2 , C=6 and D=3

Answer 13

So, X=13*11*9*A + 13*11*B + 13*9*C + 11*9*D
=1287*A + 143*2+117*6+99*3
=1287*A+1285

Answer 14

But I am not getting any three digit number....
1285 looks like is the smallest positive integer

Answer 15

Thank you! The way you solved it was a lot different than the way our teacher did though, she solved it with a gimmick 8D And she was mistaken about the 3 digit number, the correct number was 1285.