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

Ax4=E.............................1
B/4=E...............................2
C+4=E..............................3
D-4=E................................4
A+B+C+D=100.....................5
FROM 1 & 2, WE GET
B/4=4E
i.e. B=16E..........................6
FROM 1 & 3, WE GET
C+4=4A
i.e. C=4A-4.........................7
FROM 1 & 4, WE GET
D-4=4A
i.e. D=4A+4........................8
FROM 5, 6, 7 & 8, WE GET
A+16A+4A-4+4A+4=100
i.e. 25A=100
i.e. A=4..........................9
FROM 1 & 9, WE GET
E=4x4=16

Answer 2

It may be 25.


By adding all the solutions and substituting the given.