Question

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 ?*

Answer 1

we know that

`A*4=E`

`A=(E)/(4)` -----> equation
`1`

`(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`

`[(E)/(4) ]+[4*E]+[E-4]+[E+4]=100\\ E+16E+4E-16+4E+16=400\\ 25E=400\\\\ E=(400)/(25) \\ \\ E=16`

therefore

the answer is

the value of E is
`16`

Answer 2

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 !!!