Question

Si se cumple:
a²/9 = b²/16 = c²/4 = d²/25
Además: a × b × c × d = 1 920
calcular "a + b + c + d"

ayuda por favor

Answer 1

Respuesta:

$\frac{ {a}^{2} }{9} = \frac{ {b}^{2} }{16} = \frac{ {c}^{2} }{4} = \frac{ {d}^{2} }{25} \\ \frac{a}{3} = \frac{b}{4} = \frac{c}{2} = \frac{d}{5} = k \\ a = 3k \\ b = 4k \\ c = 2k \\ d = 5k \\ a \times b \times c \times d = 1920 \\ 3k \times 4k \times 2k \times 5k = 1920 \\ 120 {k}^{4} = 1920 \\ {k}^{4} = 16 \\ k = 2 \\ a = 3(2) = 6 \\ b = 4(2) = 8 \\c = 2(2) = 4 \\ d = 5(2) = 10 \\ a + b + c + d \\ 6 + 8 + 4 + 10 \\ 28$