Question

Ex. 16
Mrs anticipat
Dau coroană​

Answer 1

{a,b,c} d.p {2,5/2,3}

m.a.=25

$\frac{a}{2} = \frac{b}{ \frac{5}{2} } = \frac{c}{3} = k$

=>a=2k

b=5/2k

c=3k

=>

$ma = \frac{a + b + c}{3}$

$25 = \frac{2k + \frac{2}{5}k + 3k}{3}$

aducem la același numitor

$25 = \frac{ \frac{4}{2}k + \frac{5}{2} k + \frac{6}{2} k }{3}$

$25 = \frac{ \frac{15}{2}k }{3}$

$25 \times 3 = \frac{15}{2} k$

$75 = \frac{15}{2} k$

$75 \times 2 = 15k$

$150 = 15k$

$k = \frac{150}{15}$

$k = 10$

=>a=2×10=20

$b = \frac{5}{2} \times 10 = \frac{50}{2} = 25$

c=3×10=30