Question

a×b=5580
a×(b+6)=5850
a=?
b=?

Answer 1

Răspuns

Explicație pas cu pas:

a × b = 5 580

a × ( b + 6 ) = 5 850

a × b + 6 × a = 5 850

5 580 + 6 × a = 5 850

6 × a = 5 850 - 5 580

6 × a = 270

a = 270 : 6

a = 45

__________

a × b = 5 580

45 × b = 5 580

b = 5 580 : 45

b = 124

Answer 2

$\it ab=5580\ \ \ \ (*)\\ \\ a(b+6)=5850\Rightarrow ab+6a=5850\stackrel{(*)}{\Longrightarrow}\ 5580+6a=5850|_{-5580} \Rightarrow\\ \\\Rightarrow 6a = 270|_{:6} \Rightarrow a = 45\\ \\ a=45 \stackrel{(*)}{\Longrightarrow}\ 45b=5580 \Rightarrow b=5580:45 \Rightarrow b=124$