A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E ___________ & A + B + C + D = 100 Challenge *what is the value of E ?*
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Answered by
14
Given:
A×4 = E ⇒ A = E/4
B/4 = E ⇒ B = 4E
C+4 = E ⇒ C = E=4
D-4 = E ⇒ D = E+4
and also given that
A+B+C+D=100. ---------- 1
In order to get the value of E, change eqn 1 to the variable E using the above data.
⇒ E/4 + 4E + E-4 + E+4 = 100
⇒ E/4 + 4E + 2E = 100
⇒ E/4 + 6E = 100
⇒ {E+24E}/4 = 100
⇒ E+24E = 100×4
⇒ 25E = 400
⇒ E = 400/25
∴ E = 16
A×4 = E ⇒ A = E/4
B/4 = E ⇒ B = 4E
C+4 = E ⇒ C = E=4
D-4 = E ⇒ D = E+4
and also given that
A+B+C+D=100. ---------- 1
In order to get the value of E, change eqn 1 to the variable E using the above data.
⇒ E/4 + 4E + E-4 + E+4 = 100
⇒ E/4 + 4E + 2E = 100
⇒ E/4 + 6E = 100
⇒ {E+24E}/4 = 100
⇒ E+24E = 100×4
⇒ 25E = 400
⇒ E = 400/25
∴ E = 16
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Please refer the pic for answer . Thanks !
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