Question

please answer fast
A×4=E
B÷4=E
C+4=E
D-4=E
Easiest LOGIC ...???

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

& A + B + C + D = 100

Find
*what is the value of E ?*​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Correct Question -

A × 4 = E

B + 4 = E

C + 4 = E

D - 4 = E

and

A + B + C + D = 100

What is the value of E ?

Solution -

Given -

A × 4 = E ...... (a)

B + 4 = E ....... (b)

C + 4 = E ....... (c)

D - 4 = E ....... (d)

To Find -

Value of E

Now,

A = E/4 ....... From (a)

B = E - 4 ....... From (b)

C = E - 4 ...... From (c)

D = E + 4 ...... From (d)

According to the question :-

A + B + C + D = 100

It means,

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

» E + 4(E - 4) + 4(E - 4) + 4(E + 4)/4 =100

» E + 4E - 16 + 4E - 16 + 4E + 16 = 400

» 13E - 16 = 400

» 13E = 400 + 16

» 13E = 416

» E = 416/13

• » E = 32

Hence,

The value of E is 32.

Verification -

A = 32/4 = 8

B = 32 - 4 = 28

C = 32 - 4 = 28

D = 32 + 4 = 36

A + B + C + D = 100

» 8 + 28 + 28 + 36 = 100

100 = 100

L•H•S = R•H•S

Hence,

Verified..