Question

Ax4 = Е
В = 4 = Е
С+ 4 = Е
D - 4 = Е


& А+В+С+D = 100
what is the value of E? ​

Answer 1

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,

$\frac{E}{4} + (E - 4) + (E - 4) + (E + 4) = 100 \\ \\ = \frac{E + 4(E - 4) + 4(E - 4) + 4(E + 4)}{4} = 100 \\ = E + 4E - \cancel{16} + 4E - 16 + 4E + \cancel{16 } = 400 \\ = 13E = 400 + 16 \\ = 13E = 416 \\ E = \frac{ \cancel{416}}{ \cancel{13}} \\ E = 32 \\ \\ Hence, \\ \bold{ The \: value \: of \: E = 32}$

Checking -

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

Proved..

$\bold{The \: Value \: of \: E = 32 \: is \: Absolutely \: Correct.}$