Si 32 / b = b / c = c / 4 = 4 / r?

Question

Si 32 / b = b / c = c / 4 = 4 / r. Hallar r + c.

Rusher2 · Accepted Answer

32 / B = B / C = C / 4 = 4 / R - - - -

4B = 32R

B = 8R ⇒R = B / 8 - - - - - -

CR = 16

C(B / 8) = 16

CB = 128

C = 128 / B - - - - - - - -

BR = 4C

BR = 4(128 / B)

B(B / 8) = 4(128 / B)

B³ = 4096 ⇒B = 16 ENCONTRAMOS B - - - - -

AHORA SOLO REEMPLAZAMOS .

R = B / 8 = 16 / 8 = 2 .

R = 2 ENCONTRAMOS R - - - - - -

C = 128 / B⇒C = 8 .

ENCONTRAMOS C - - - -

PIDE R + C = 2 + 8 = 10.

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