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  • A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E & A + B + C + D = 100 Find the value of E ?

A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E & A + B + C + D = 100 Find the value of E ?

Answers (1)

Given

A x 4 = E

B ÷ 4 = E

C + 4 = E

D - 4  = E

A + B + C + D = 100

A × 4 = E⇒ A = E/4

B ÷ 4 = E⇒ B = 4E

C + 4 = E⇒ C = E - 4

D - 4 = E⇒ D = E + 4

Now, A + B + C + D = 100

Put the values of A, B, C and D in terms of E in this equation

⇒ E/4 + 4E + E - 4 + E + 4 = 100

⇒ E/4 + 4E + 2E = 100

⇒ E/4 + 6E = 100

⇒ E/4 + 24E/4 = 100

⇒ 25E/4 = 100

⇒ E = 100 × 4/25

⇒ E = 16

Posted by

shubham.krishnan

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