naash
Answered

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 ?

Verified Answer :

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

\(A*4=E\)

\(A=\frac{E}{4}\) -----> equation \(1\)

\(\frac{B}{4} =E\\ \\ B=4*E\) -----> equation \(2\)

\(C+4=E\)

\(C=E-4\) -----> equation \(3\)

\(D-4=E\)

\(D=E+4\) -----> equation \(4\)

\(A+B+C+D=100\) -----> equation \(5\)

Substitute equations \(1,2,3,4\) in equation \(5\)

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

therefore

the answer is

the value of E is \(16\)

Related Questions