Question

Suma a 3 nr este 588.Afla-le stiind ca daca impart primul nr la treimea celui de-al doilea obtin catul4 si restul 8,iar daca impart primul nr la jumatatea celui de-al treilea obtin catul 4.

Answer 1

a+b+c = 588
a = b/3 ·4 + 8    3a = 4b + 24    b = (3a-24)/4
a = c/2 ·4 = 2c  c = a/2
a + (3a-24)/4 + a/2 = 588
4a + 3a -24 + 2a =2352
9a = 2376  a = 264    b = 192  c = 132

Answer 2

a+b+c=588
⇒a=3b·4+8⇒a=12b+8;;
⇒a=2c·4⇒a=8c;
⇒12b+8=8c/:2⇔6b+4=4c/:2⇔3b+2=2c⇒c=[3b+2]/2;
⇒12b+8+b+[3b+2]/2=588
⇒13b+8+[3b+2]/2=588
⇒13b+[3b+2]/2=588-8
⇒13b+[3b+2]/2=580
⇒26b/2+3b/2+2/2=580
⇒[29b+2]/2=580
⇒29b+2=2·580
⇒29b+2=1160;
⇒29b=1158
⇒b=39,93;
⇒a=487,17;
⇒c=60,895;