Question

AYUUDSAA PORFA La razón de dos números A y B es 45/20, si el M.C.M. (A, B) = 900. Hallar “A”.

Answer 1

Respuesta:

$a \times b = 900$

$\frac{a}{b} = \frac{45}{20}$

$b \: = \ \frac{900}{a}$

$\frac{a}{ \frac{900}{a} } = \frac{45}{20}$

$\frac{ {a}^{2} }{900} = \frac{45}{20}$

$20 {a}^{2} = 900 \times 45$

${a}^{2} = \frac{45 \times 900}{20}$

${a}^{2} = 2025$

$a = \sqrt{2025} = 45$