naash
contestada

A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E ___________ & A + B + C + D = 100 Challenge *what is the value of E ?*

Respuesta :

faizu
A×4  = E, so A = E/4
B/4   = E, so B = 4E
C+4  = E, so C = E=4
D-4   = E, so D = E+4
and
A+B+C+D=100.

now substitute the values that  we got of A, B, C and D in the equation, to get,
(E/4) + 4E + E-4 + E+4 = 100
(E/4) + 4E + 2E = 100
(E/4) + 6E = 100
(E+24E)/4 = 100
E+24E = 100×4
25E = 400
E = 400/25
E = 16

i answered same question before too ....

Hope it helps !!!
calculista

we know that

[tex] A*4=E [/tex]

[tex] A=\frac{E}{4} [/tex] -----> equation [tex] 1 [/tex]

[tex] \frac{B}{4} =E\\ \\ B=4*E [/tex] -----> equation [tex] 2 [/tex]

[tex] C+4=E [/tex]

[tex] C=E-4 [/tex] -----> equation [tex] 3 [/tex]

[tex] D-4=E [/tex]

[tex] D=E+4 [/tex] -----> equation [tex] 4 [/tex]

[tex] A+B+C+D=100 [/tex] -----> equation [tex] 5 [/tex]

Substitute equations [tex] 1,2,3,4 [/tex] in equation [tex] 5 [/tex]

[tex] [\frac{E}{4} ]+[4*E]+[E-4]+[E+4]=100\\ E+16E+4E-16+4E+16=400\\ 25E=400\\\\ E=\frac{400}{25} \\ \\ E=16 [/tex]

therefore

the answer is

the value of E is [tex] 16 [/tex]

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