+0

# Puzzle KMT

+5
7
195
8

a+b+c+d+e+f+g+h+i+j+k+l = 24.05

(a+b+c+d+e+f) - (g+h+i+j+k+l) = 6.05

9(a+b+c+d+e+f) / (g+h+i+j+k+l) = 15.05

(a+b+c+g+h+j) - (d+e+f+i+j+l) = 2.95

(a+c+e+g+i+k) - (b+d+f+h+i+j) = 1.95

2(d+e+f+i+j+l) - (a+b+c+g+h+j) = 7.6

abc + def + ghi + jkl = 40.978

(abc + ghi) - (def - jkl) = 19.642

ab + cd + ef + gh + ij + kl = 28.48

(ab + ef + ij) - (cd + gh + kl) = 12.52

(a+b)*(c+d) + (e+f)*(g+h) + (i+j)*(k+l) = 48.45

(a+b)*(c+d) - (e+f)*(g+h) - (i+j)*(k+l) = 8.55

a=? b=? c=? d=? e=? f=? g=? h=? i=? j=? k=? l=?

Guest Sep 12, 2017
Sort:

#1
+90127
+6

1)  a+b+c+d+e+f+g+h+i+j+k+l = 24.05

2)  (a+b+c+d+e+f) - (g+h+i+j+k+l) = 6.05

3)  9(a+b+c+d+e+f) / (g+h+i+j+k+l) = 15.05

4)  (a+b+c+g+h+j) - (d+e+f+i+j+l) = 2.95

5)  (a+c+e+g+i+k) - (b+d+f+h+i+j) = 1.95

6)  2(d+e+f+i+j+l) - (a+b+c+g+h+j) = 7.6

7)  abc + def + ghi + jkl = 40.978

8)  (abc + ghi) - (def - jkl) = 19.642

9)  ab + cd + ef + gh + ij + kl = 28.48

10)  (ab + ef + ij) - (cd + gh + kl) = 12.52

11)  (a+b)*(c+d) + (e+f)*(g+h) + (i+j)*(k+l) = 48.45

12)  (a+b)*(c+d) - (e+f)*(g+h) - (i+j)*(k+l) = 8.55

a=? b=? c=? d=? e=? f=? g=? h=? i=? j=? k=? l=?

Let     x = a+b+c+d+e+f           and   y = g+h+i+j+k+l

x+y=24.05   From (1)

x-y=6.05      From (2)

2x=30.1

x=15.05

y=24.05-15.05 = 9

so

lets look at (3)

9x/y = 9*15.05/9 = 15.05     so (3) is true and it does not help solve anything.

So we have exhausted all the clues from  lines 1,2 and 3 and we have discovered that:

a+b+c+d+e+f = 15.05      and          g+h+i+j+k+l = 9

My interest has now wained, maybe I will come back to it later.    :)

Melody  Sep 12, 2017
#4
+265
+3

Your doing good Melody, Keep up the good work

knownhappyman68  Sep 13, 2017
#6
+18
+1

this is very wierd.... and confusing

ISAIAHmbWARGAMINGwot  Sep 14, 2017
#7
+265
+1

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╱╱┏╮╱╱╱╱╱╱╱╱╱╱╱
╱╱┃┃╱╱╱┳╱┓┳╭┫┳┓
▉━╯┗━╮╱┃╱┃┣┻╮┣╱
▉┈┈┈┈┃╱┻┛┛┻╱┻┻┛
▉╮┈┈┈┃╱╱╱╱╱╱╱╱╱
╱╰━━━╯╱╱╱╱╱╱╱╱╱

Credit goes to: MagikalRedNiteTiger

knownhappyman68  Sep 14, 2017
#8
+109
0

I didn't create the design, so credit actually goes to ACII Text Art.

MagikalRedNiteTiger  Sep 14, 2017
#2
+1

-2x2-5x=-50?

Guest Sep 12, 2017
#3
+1088
+3

Cphill answered this exact question somewhere else on this forum by using the method of completing the square. To view it, click here to redirect you to his solution.

TheXSquaredFactor  Sep 12, 2017
#5
+6891
+2

-2x2-5x=-50

Hello Guest!

$$-2x^2-5x=-50$$         [ both sides + 50

$$-2x^2-5x+50=0$$               [ : (-2)

$$x^2+\frac{5}{2}x-25=0$$

p          q

$$x=-\frac{p}{2}\pm\sqrt{\frac{p^2}{4}-q}$$                [ p,q transfer

$$x=-\frac{5}{4}\pm\sqrt{\frac{25}{16}+25}$$             [ calculate root

$$x=-\frac{5}{4}\pm\sqrt{26.5625}=-1.25\pm5.15388203202$$

$$x_1=3.90388203202\\ x_2=-6.40388203202$$

!

asinus  Sep 13, 2017

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