I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Tuesday, August 04, 2009
What is the Value of F
What is the value of F in the following system?
A + B = Z
Z + P = T
T + A = F
B + P + F = 30
A = 8
If we label the equations in order (1) to (5) we have: (1) & (2) => A + B + P = T (4) => A + 30 - F = T (3) => A + 30 - F = F - A (5) => 46 = 2F => F = 23
Since A=8 8+B =Z from 1 subtitute 1 in 2 8 +B + P =T subsitute above in 3 16 +B+P = F since A= 8 hence 2A=16 subs above in 4 we get 2B+2P+2A = 30 B+P+A=15 this gives B+P=7 therefore F=23
twenty three. hmmm the previous people found out how to find it alot less complicated then me. I found out the value of T when I substituted certain letters to get the equation: z-8+8+T+T-z=30. Then I got that T=15 and I almost published that before I realized that that was not what you wanted so I panicked thinking I had to somehow find another complicated equation, but just used the equation T+A=F and WUALLAAAA (an exclamation meaning it suddenly appeared :P)
Agreed. F=23. (and in case anyone wanted to check work, I'm pretty sure A=8, B=-8, P=15, and T=15 (Z is a free variable)... looking at Rich's answer, I think I made it more complicated than it should have been...wooo lin. alg.)
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F equals 23.
ReplyDeleteIf we label the equations in order (1) to (5) we have:
(1) & (2) => A + B + P = T
(4) => A + 30 - F = T
(3) => A + 30 - F = F - A
(5) => 46 = 2F => F = 23
F=23
ReplyDeleteSince A=8
8+B =Z from 1
subtitute 1 in 2
8 +B + P =T
subsitute above in 3
16 +B+P = F since A= 8 hence 2A=16
subs above in 4
we get
2B+2P+2A = 30
B+P+A=15
this gives
B+P=7
therefore
F=23
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twenty three. hmmm the previous people found out how to find it alot less complicated then me. I found out the value of T when I substituted certain letters to get the equation: z-8+8+T+T-z=30. Then I got that T=15 and I almost published that before I realized that that was not what you wanted so I panicked thinking I had to somehow find another complicated equation, but just used the equation T+A=F and WUALLAAAA (an exclamation meaning it suddenly appeared :P)
ReplyDeleteAgreed. F=23. (and in case anyone wanted to check work, I'm pretty sure A=8, B=-8, P=15, and T=15 (Z is a free variable)... looking at Rich's answer, I think I made it more complicated than it should have been...wooo lin. alg.)
ReplyDeleteP=0
ReplyDeleteA=8
B=7
T=15
Z=15
F=23
23
ReplyDeleteLooks like there's consensus on this one. F = 23 is the answer.
ReplyDeleteWhat is -1/8f-3/4-1/4f=11?
ReplyDelete