Question

a+b+c=297
a:b=2 rest25
a:c=11 rest 8

Va rog dau coroana!

Answer 1

a+b+c=297

a:b=2 rest25⇒a=2b+25⇒(a-25)/2=b
a:c=11 rest 8 ⇒a=11c+8⇒(a-8)/11=c

deci
a+(a-25)/2+(a-8)/11=297
22a+11(a-25)+2(a-8)=297×22
22a+11a-11×25+2a-16=297×22
35a=297×22+11×25+16
35a=6534+275+16
35a=6825
a=195

(a-25)/2=b⇒b=(195-25)/2=170:2=85  deci b=85

(a-8)/11=c⇒(195-8)/11=c⇒c=187/11=17⇒c=17

deci a=195,  b=85 si  c=17
verificare
a+b+c=195+85+17=297
297=297