Question

Determinati numerele a,b,c si d direct proportionale cu nr 2;3;4 si 6 stiind ca d-c+b-a=12

Answer 1

Răspuns:

a/2 =b/3 = c/4 =d/6=k ;   a=2k ;  b=3k ;  c=4k ;  d=6k ;   6k-4k+3k-2k=12 ;  3k=12 ; k=4 ;  a=2.4=8 ;  b=3.4=12 ;  c=4.4=16 ;  d=4.6=24 ;

Answer 2

Răspuns:

a=8

b=12

c=16

d=24

Explicație pas cu pas:

{a,b,c,d} d.p. {2,3,4,6}

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

a/2=k => a=2k

b/3=k => b=3k

c/4=k => c= 4k

d/6=k => d=6k

d-c+b-a=12

6k-4k+3k-2k=12

3k=12

k=12/3

k=4

a=2k

a=2*4

a=8

b=3k

b=3*4

b=12

c=4k

c=4*4

c=16

d=6k

d=6*4

d=24