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

A * 4 = E----(1)
B /4 = E----(2)
C+4 =E-----(3)
D-4 =E-----(4)
A+B+C+D=100 ----(5)
FROM (1) AND (2)
A*4 = B/4
A= B/16---(6)
from (2) and (3)
 C+4= B/4
⇒C= B/4 -4----(7)
from (2) and (4)
D-4 = B/4
D= B/4 +4----(8)
substitute (6) , (7) and (8) in (5)
A+B+C+D=100
B/16 +B+B/4 -4 +B/4 +4 =100
B/16 +B +B/4 +B/4 =100
(B+16B +4B +4B)/16 =100
25B/16 =100
B= (100*16/25)
B= 64
put B =64 in (6) , (7) and (8) and (2)

A = B/16 = 64/16= 4

C= B/4 - 4 = 64/4 -4 =16-4 =12

D =B/4 +4 = 64/4 +4 =16+4 =20

E = B/4 = 64/4 =16
∴ A= 4; B =64; C=12; D =20 ; E =16