Question

Urgent.a+b+c=345.Daca a+25% din a=b+50%din b=c+20%din c Afla numerele

Answer 1

Răspuns:

Explicație pas cu pas:

a + b + c = 345

a + 25a/100 = b + 50b/100 = c + 20c/100

a + a/4 = b + b/2 = c + c/5

5a/4 = 3b/2 = 6c/5 = k

a = 4k/5

b = 2k/3

c = 5k/6

4k/5 + 2k/3 + 5k/6 = 345

48k/60 + 40k/60 + 50k/60 = 345

138k/60 = 345

k = 345*60/138 = 150

a = 4*150/5 = 120

b = 2*150/3 = 100

c = 5*150/6 = 125

Answer 2

Răspuns:

a=120

b=5a/6=100

c=25a/24=125

Explicație pas cu pas:

a+a/4=b+b/2=c+c/5

5a/4=3b/2=6c/5

5a/4=3b/2=6b/4⇒5a=6b⇒b=5a/6

5a/4=6c/5⇒25a=24c⇒c=25a/24

atunci

a+b+c=a+5a/6+25a/24=(24+20+25)a/24

69a/24=345 |:69

a/24=5

a=120

b=5a/6=100

c=25a/24=125