Question

Suma a trei nr a,b,c este 370. Daca as scadea din primul nr 1/4, din al doilea nr 1/10 iar din al treilea 4/10 cele trei nr ar fi egale. Afla nr.

Answer 1

a+b+c= 370

a-a/4=b-b/10=c-4c/10

4a/4-a/4=10b/10-b/10=10c/10-4c/10
3a/4=9b/10=6c/10

3a/4=6c/10
a=c* 6/10 * 4/3 = c* 4/5
deci a= c * 4/5

9b/10=6c/10
9b=6c
b=c * 6/9 = c*2/3
deci b=c*2/3

inlocuim a si b in ecuatia initiala:

c*4/5 + c*2/3 + c = 370
aducem la acelasi numitor:
c* 12/15 + c* 10/15 + c * 15/15=370
(12c + 10c + 15c)/15=370
37c= 370 * 15
c=10*15=150

deci c=150
a=120
b=100

Answer 2

Sper sa fie usor de urmarit rezolvarea problemei