Question

Challenge Problem:
Each Letter stands for a digit. Find out what number each letter stands for using the equation below.
C + C + C + C + R = FF
F * R= MF
C * C = MR

So
C= ?
R= ?
F= ?
M= ?

(fourth grade challenge; trying to help my little sister)

Answer 1

anybody? @timo86m @shamil98 , @Zale101 @iambatman

Answer 2

well, is there a number at least given ? that fourth grade work seems challenging lol

Answer 3

Nope no numbers lol

Answer 4

Are you sure no numbers were given o_O

Answer 5

nope no numbers, want a picture for proof ? lol

Answer 6

yesh :3

Answer 7

you idiot you don't believe me. lmao gimme a sec.

Answer 8

lol

Answer 9

I believe you

Answer 10

This is one of those problems where the answer is right in front of you but you end up over complicating it.

Answer 11

yupp, what if they all equal 1 ?I mean if they do, it'll make sense

Answer 12

I feel sick

Answer 13

And if Fiz gets this answer i'm going to be pissed

Answer 14

Hmm have you tried assigning C, R F,and M a value?

C + C + C + C = C^4

C^4 + R = F

if F were 18, c was 2 and r was 2 then..

2^4 + 2 = 18

but they would also have to match the other problems. Try finding a number that satisfy all of the problems >.<

Answer 15

;-; if fiz got it right I would also be shocked >.<

Answer 16

Yeah I'm thinking you have to assign the digits yourself XD

Answer 17

o.0

Answer 18

LOl piss him off.

Answer 19

Waiiit c + c + c + c isn't c^4 >_<

Answer 20

that would onyl be c * c * c * c >_<

Answer 21

only*

Answer 22

Sheit I messed up on adding them ;-; im terra bad U_U you get the idea though

Answer 23

The proof. @fiz you're making sense but that is too much to solve for a 4th grader. I think it is a simple equation just very confusing.

Answer 24

an acceptable answer is probably

C = 1, R = 1, M = 1 and F = sqrt(5)

Answer 25

oh dang square roots, she haven't learned that, but I see what you're doing

Answer 26

Pfft, this is just adding >_< adding roots *cough* seems complicated for a 4th grade -looks away- lol but seriously just find some values... I think that FF is a double digit meaning like FF like 22 Or f*f which if it resulting in 22 divide by 2 and get 11. So each f = 11

And then you plug in 11 for the other f's and find a R value for example :D

Answer 27

@mathmale

I'm not making sense honestly... I'm multi-tasking D:

Answer 28

just reposting correct version

second row: R = M

third row: C^2 = R^2 = M^2

C = R = M

first row:

5C = F^2

equally,
5R = F^2 and
5M = F^2

\[F = \sqrt{5C} = \sqrt{5M} = \sqrt{5R}\]

where C, R and M are any number except 0 (because we divided by F to make our assumption in the second row; therefore F can't equal zero

Answer 29

do fourth graders learn about square roots?

Answer 30

Whoopwhoop got to give away two medals this time. See, if there was no M this would be much easier. D; But I'll take what you both did and figure it out with her.

Answer 31

nope I asked her, she has no idea what they are

Answer 32

k

Answer 33

This is not 4th grade math o_O

Answer 34

Maybe for an alien race

Answer 35

and batman seen the proof lol ?

Answer 36

YES it is. it's a challenge homework

Answer 37

i think her teacher assigned the class the numbers or something

Answer 38

Thanks Fizi (:

Answer 39

oh wow. EACH LETTER STANDS FOR A DIGIT

ignore my answer

Answer 40

*Cough* yw

Answer 41

LOL if her teacher gave her the numbers and she comes with a long equation high schooled based lmao her reaction X_X

Answer 42

@ zale ; nope, lol euler @tHe_FiZiCx99 haha quit coughing.

Answer 43

Prob why she's teaching grade 4 math

Answer 44

err he/she

Answer 45

lol!

yea this is impossible.

especially or fourth grade

Answer 46

for*

Answer 47

I repeat: This is one of those problems where the answer is right in front of you but you end up over complicating it.

Answer 48

I'll just put all equal 1, and tomorrow she'll ask the teacher, ill post what was the answer. lol

Answer 49

baman I would have seen it >_< like im just op :*

Answer 50

I'm more OP, dem gadgets

Answer 51

Guys 1 won't work Dx

Answer 52

WTH.

Answer 53

1 is too easy >_<

Answer 54

and this question is too confusing. I thought maybe it could be one since this is 4th grade.

Answer 55

I know how to do it

Answer 56

How??

Answer 57

Brb

Answer 58

alright

Answer 59

ill bbs and try it later

Answer 60

Lol tagg me if you ever got it.

Answer 61

Is it a word problem?
C+C+C+C+R = Foreseer

Answer 62

C=4, R = 6, F = 2, M = 1

Answer 63

Nope it just says FF

Answer 64

OMG you're are brilliant!

At first I thought ( ff means f * f)
I plugged it like this
4 + 4 + 4 + 4 + 6 = 2 x 2 0r 4
2 x 6 = 1x2
4 x 4 = 1x 6
But now I see

4 + 4 + 4 + 4 + 6 = 2 2
2 x 6 = 12
4 x 4 = 1 6

Haha Thank you so much (:

Answer 65

whpalmer, how did you solve this?

Answer 66

Oh Timaa lol, but yup @whpalmer4 is correct :P

Answer 67

Took fiz's medal away and gave it to whp

Answer 68

i suppose is trial and error then

Answer 69

not quite, I'll write up my method, just a minute...

Answer 70

So, starting with the C + C + C + C + R = F F or 4C + R = F*10 + F

trying out the various values of C from 0 to 9, and then adding the possible values of R from 0 to 9 to that, and looking for a sum that has two identical digits, the possibilities are:

C = 8 R = 1 F = 3
C = 5 R = 2 F = 2
C = 2 R = 3 F = 1
C = 7 R = 5 F = 3
C = 4 R = 6 F = 2
C = 1 R = 7 F = 1
C = 9 R = 8 F = 4
C = 6 R = 9 F = 3

Now let's discard all the cases where we have the same digit assigned to multiple letters:

C = 8 R = 1 F = 3
C = 2 R = 3 F = 1
C = 7 R = 5 F = 3
C = 4 R = 6 F = 2
C = 9 R = 8 F = 4
C = 6 R = 9 F = 3

Our next constraint is C*C = M*10+R

Going through our candidates:
8*8 = 64, but R = 1, not 4
2*2 =4, but R = 3, and we don't have a tens digit,
7*7 = 49, but R = 5, not 9
4*4 = 16, R = 6, good, and implies M = 1
9*9 = 81, R = 8, not 1
6*6 = 36, R = 9, not 6

So C = 4, R = 6, M = 1, and F = 2

Answer 71

I still find it surprising they would assign this to a 9 year old lol.

Answer 72

at first, i thought i was dealing with roman numerals haha...guess not... awesome solution dude

Answer 73

Yeah, I haven't met anyone at my kid's school who could have done this at age 10 or 11, I think, much less at 9.

Answer 74

you dont need to test all r's only 1,4,6,9,0

Answer 75

solution is unique.

Answer 76

and r equal 4 also implies in M=6

Answer 77

See, I kind of did what you did except I kept thinking FF = F*F, MR = M*R, & MF = M*F So I never really got the solution. Thanks for explaining it really well, I showed my sister this morning she got all excited when it was solved. lol & Batman me neither, but the teacher put it for her as a challenge/ bonus grade for fun I guess. It wasn't something they had to do.

Answer 78

I thought it was either f*f or a double meaning like 2 number >_<