Event problem D:!

[Kido]

Hello, i just made a question event few days ago and one of the questions was this:

 

If A + B = C & B is > to C then B is ___ to ___ ?

 

For what i know, if B is > than C and C is the plus of A & B then B is > to A right ? but a lot of ppl started to talk about negative numbers and irracional numbers and they confused me a lot, there was a lot of weird answers so i just decide to skip that and ask another different question o:!

 

So, yeah, im asking for what do you think the answer is, or what is the answer D: as i said to them, there was more than 1 correct answer since they can be any numbers lol

 

Well hope someone will share its math skills o:!

 

 

[Archetype Saber]

B is < to A ?

[Kido]

How B can be > to A if A + B = C and C is < to B ?

[Dastgir]

So here's the problem,
A+B=C and B>C, then absolutely B>A or B<A
reasons:

 

Case 1:
Since A+B=C. A, B cannot exceed C if they both are positive.

 

so 2 cases left are, (both negative) or (one negative and one positive).

 

Case 2:
For both negative ( A and B ):

C will always be lesser than A and B

examples: -1-2=-3 (A=-1,B=-2,C=-3) or -2-1=-3 (A=-2,B=-1,C=-3), so B can be greater or less than A(In both examples B>C)

Case 3 (for one positive and one negative number):
take examples, -1+2=1(A=-1,B=2,C=1) or 3-2=1(A=3,B=-2,C=1), in first case B>A (And B>C) and in second case B<A(B is not greater than C),
so Answer is:
1) B is greater or less than A(If both numbers are negative)

2) B is greater than A (if A is negative and B is positive)

3) No relation (If both are positive numbers, or A is negative and B is positive)

P.S: A cannot be equal to B in any case(since B>C).

 

So according to the Question conditions of number being negative or positive, above three results can be obtained.)

Edited March 31, 2014 by Dastgir

[Kido]

Oh i see, so B can be > than A and < than A too but not equal to A

 

hmm i will re-read and try to understand you more so i can explain it to them

 

somehow i feel they will start again saying a lot of confusing answers @_@

[sandbox]

if A+B=C

and B>C

A = negative number? 

[Tokei]

I just had to respond... no one posted a valid answer yet xD

 

Three examples should do it :

-1 + -5 = -6

B < A and B > C

 

-5 + 1 = -4

B > A and B > C

 

-5 + -5 = -10

B = A and B > C

 

All answers are possible and respect the condition. 'A' must also always be strictly negative in any cases.

[Kido]

allright and at the end B is > to C o:! thanks for answer o:!!!

[sandbox]

I just had to respond... no one posted a valid answer yet xD

 

Three examples should do it :

-1 + -5 = -6

B < A and B > C

 

-5 + 1 = -4

B > A and B > C

 

-5 + -5 = -10

B = A and B > C

 

All answers are possible and respect the condition. 'A' must also always be strictly negative in any cases.

that's what i said ;(

[Kido]

 

I just had to respond... no one posted a valid answer yet xD

 

Three examples should do it :

-1 + -5 = -6

B < A and B > C

 

-5 + 1 = -4

B > A and B > C

 

-5 + -5 = -10

B = A and B > C

 

All answers are possible and respect the condition. 'A' must also always be strictly negative in any cases.

that's what i said ;(

 

 

loool true o:!