Question

A x 4 = E
B ÷ 4 = E
C + 4 = E
D - 4 = E
___________
&
A + B + C + D = 100

*what is the value of E ?*

Answer 1

A= E / 4         B = 4 E            C = E - 4          D = E + 4

=> A + B + C + D =  E / 4 + 6 E 
=>                100  =  25 E / 4

=> E = 16

Answer 2

Answer:

The value of E is 16.

Step-by-step explanation:

It is given that A x 4 = E , B ÷ 4 = E , C + 4 = E , D - 4 = E.

$A\times 4=E\Rightarrow A=\frac{E}{4}$

$B\div 4=E\Rightarrow B=4E$

$C+4=E\Rightarrow C=E-4$

$D-4=E\Rightarrow D=E+4$

it is given that

$A+B+C+D=100$

$\frac{E}{4}+4E+(E-4)+(E+4)=100$

$\frac{E}{4}+6E=100$

$\frac{E+24E}{4}=100$

$25E=4\times 100$

Divide both sides by 25.

$E=4\times 4$

$E=16$

The value of E is 16.