Question

solve the given problem ​

Answer 1

Holaa Mate

Refer to the attachment..

Answer 2

Answer:

The 2 numbers are : 13 and 14

Step-by-step explanation:

Let the two numbers be x and y.

x × y = 182

x = $\frac{182}{y}$  (1)

x + y = 27 (2)

Substituting (1) in (2),

$\frac{182}{y}$  + y = 27

$\frac{182 + y^{2}}{y}$ = 27

$182 + y^{2} = 27y$

$y^{2} - 27y + 182$ = 0

$y^{2} - 13y - 14y + 182 = 0$

y(y - 13) - 14(y - 13) = 0

(y - 13)(y - 14) = 0

y - 13 = 0                OR            y -14 = 0

y = 13                      OR            y = 14

Taking y = 14,

Substituting y = 14 in (1)

x = $\frac{182}{14}$

x = 13

Taking y = 13,

Substituting y = 14 in (1)

x = $\frac{182}{13}$

x = 14

∴ x = 13 & y = 14          OR           x = 14 & y = 13