Question

*Puzzle no.2*

CRACK THE LOGIC ...!

A x 4 = E
B ÷ 4 = E
C + 4 = E
D - 4  = E

& A + B + C + D = 100

Find the value of E ?*

All master brains!
Your time starts now.​

Answer 1

Given:

• A x 4 = E

• B ÷ 4 = E

• C + 4 = E

• D - 4  = E

•  A + B + C + D = 100 -------------(1)

To Find:

• Value of E

Solution:

It is given that,

$\longrightarrow A\times4=E$

$\longrightarrow A=\dfrac{E}{4}$

Also,

$\longrightarrow \dfrac{B}{4}=E$

$\longrightarrow B=4E$

Also,

⇒ C+4= E

⇒ C= 4-E

Also,

⇒ D-4= E

⇒ D= 4+E

Now, on putting values of A, B, C and D in (1), we get

$\longrightarrow \bigg(\dfrac{E}{4}\bigg)+(4E)+(E-4)+(E+4)=100$

$\longrightarrow \dfrac{E}{4}+4E+E-4+E+4=100$

$\longrightarrow \dfrac{E}{4}+6E=100$

$\longrightarrow \dfrac{E+24E}{4}=100$

$\longrightarrow E+24E=100\times4$

$\longrightarrow 25E=400$

$\longrightarrow\pink{E=\dfrac{\cancel{400}}{\cancel{25}}}$

$\longrightarrow E=16$

Hence, the value of E is 16.

Answer 2

A×4 =E

A=E/4

B/4 =E

B =4E

C+4 =E

C=E-4

D-4 =E

D=E+4

A+B+C+D =100

E/4 + 4E +E-4 +E+4 =100

25E/4 =100

E=16