Question

Produsul a doua numere este 4 784.Aflați numerele stiind ca daca se mareste primul numar cu 4,iar pe aldoilea de 4ori produsul devine 19 504

Answer 1

a*b=4784
(a+4)*4*b=19504
4ab+16b=19504
4*4784+16b=19504
19136+16b=19504
16b=19504-19136
16b=368
b=368/16
b=23
a*23=4784
a=4784/23
a=208

Answer 2

$m *n = 4784 \\ (m+4)*4*n=19504 \\ 4mn+16n =19504 \\ 4*4784+16n=19504 \\ 19136 +16n=19504 \\ \\ 16n= 19504-19136\\16n=368 \\ \\ \boxed{n= \frac{368}{16}= 23} \\ \\ \\ \boxed{m=\frac{4784}{23}=208}$