Math Is Fun Forum

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try this.....
Q: What is BIG in Ladies, SMALL in Girls and is not present in Kids?? 

hi Qwerticianist

That's a very good explanation! Thx!!
Welcome to the forum......

Proof: Its self evident coz if a number (other than 2 of course) is not odd (i.e. even) then its divisible by 2 and hence its number of factors increases (i.e. more than 2 factors) and hence its not prime.

Proof: consider two numbers x and x+1 (difference is 1).
we know that any number divided by 2 can give only two remainders viz. 1 or 0 .

we need to show that both x and x+1 cannot be prime.
for that, we'll show that exactly one of x and x+1 is divisible by 2.

let's say, x>2
CASE-I: x is divisible by 2.
hence, x is not prime.
CASE-II: x is not divisible by 2.
then x÷2 will give remainder 1?
hence, (x+1)÷2 will give remainder (1+1=2)÷2=0 --> x+1 is divisible by 2!
Note: if remainder ≥ divisor, then we divide the remainder by divisor again till the remainder lies in the range 0 ≤ remainder < divisor.
hence, both x and x+1 cannot be prime.

5382 = (13 + 5 × 0) × (13 + 5 × 1) × (13 + 5 × 2)

5 × 3 + 82 is a Prime number.

5 + 3 × 8 + 2 is a Prime number.

5 × 3 + 8 × 2 is a Prime number.

F[sub]5[/sub] × F[sub]3[/sub] × F[sub]8[/sub] + F[sub]2[/sub] is a Prime number.

F[sub]5[/sub] × F[sub]3[/sub] + F[sub]8[/sub] × F[sub]2[/sub] is a Prime number.

F[sub]5[/sub] + F[sub]3[/sub] × F[sub]8[/sub] × F[sub]2[/sub] is a Prime number.

F[sub]5[/sub] + F[sub]3[/sub] + F[sub]8[/sub] + F[sub]2[/sub] is a Prime number.

F[sub]5 × 3[/sub] + F[sub]3 × 2[/sub] is a Prime number.

(5 + 3) × 8 + 2 = 66

i think one is somebody's name (proper noun) and he should not gaze into the mirror or else you (pronoun) will turn into evil?

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ok.. i'll give it another try.........

Yes! That's exactly what you're looking for!

Well... See..
Different possible values of x and corresponding values of y are..

x-6=1 ; y-6=36

x-6=2 ; y-6=18

x-6=3 ; y-6=12

x-6=4 ; y-6=9

x-6=6 ; y-6=12

also, x can take all those values which y can take and thus there are total 9 different values possible!

Note that in all the cases, the values of x or y (i.e. the time taken) is More than 6 hrs.
When they're open together, they fill it in 6 hrs which is less than both their individual times!

Your Welcome

Its c) 9