Question

Doua eleve au in colectia lor 84 de servetele .Prima are cu 35 servetele mai mult decat a sasea parte din cate are a doua .Cate servetele are fiecare

Answer 1

$a - prima \: eleva$

$b - a \: doua \: eleva$

$a = \frac{1}{6} \times b + 35$

$a = \frac{b}{6} + 35$

$a + b = 84$

$\frac{b}{6} + 35 + b = 84$

$\frac{b}{6} + b = 84 - 35$

$\frac{b}{6} + b = 49 \: | \times 6$

$b + 6b = 294$

$7b = 294$

$b = \frac{294}{7}$

$b = 42$

$a = \frac{b}{6} + 35$

$a = \frac{42}{6} + 35$

$a = 7 + 35$

$a = 42$

$= > a = b = 42$