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

Answer:

A × 4 = E

or, A = E/4

B ÷ 4 = E

or, B = E × 4

C + 4 = E

or, C = E - 4

D - 4 = E

or, D = E + 4

A + B + C + D = 100

By putting the values of A, B, C and D, we get

E/4 + 4E + E - 4 + E + 4 = 100.........eq.(i)

Multiplying both sides of eq.(i) by 4, we get

E + 4(E × 4) + 4( E - 4 ) + 4( E + 4 ) = 400

or, E + 16 × E + 4 × E - 16 + 4 × E + 16 = 400

-16 and 16 got cancelled, we obtained

25E = 400

or, E = 400/25 = 16

Value of E is 16.

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