Sagot :
let x be the first number and
y be the second number
xy = 162
x+y = 27
x+y = 27
y = 27 - x
so, xy = 162
x( 27 - x) = 162
27x -x² = 162
x² -27x+162 = 0
(x-18) (x-9) = 0
x-18 = 0 and x-9 = 0
x = 18 and x = 9
if x = 18 and if x = 9
y = 27 - x y = 27 - x
= 27 - 18 = 27 - 9
y = 9 y = 18
so the answer or the ratio is 1 : 2 or 2 :1.
y be the second number
xy = 162
x+y = 27
x+y = 27
y = 27 - x
so, xy = 162
x( 27 - x) = 162
27x -x² = 162
x² -27x+162 = 0
(x-18) (x-9) = 0
x-18 = 0 and x-9 = 0
x = 18 and x = 9
if x = 18 and if x = 9
y = 27 - x y = 27 - x
= 27 - 18 = 27 - 9
y = 9 y = 18
so the answer or the ratio is 1 : 2 or 2 :1.
[tex]Equation; \\ xy=162 \\ x+y=27 \\ \\ x+y=27 \\ \boxed{y=27-x}\ \underline{to\ give\ the\ value\ of\ y} \\ \\ Solution; \\ where\ y\to27-x \\ \\ xy=162 \\ x(27-x)=162 \\ x^{2}-27x+162=0 \\ (x-18)(x-9) \\ \\ \\ x-18=0 \\ \boxed{x=18} \\ \\ x-9=0 \\ \boxed{x=9}[/tex]
[tex]if\ x=18\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ x=9 \\ \\ y=27-x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=27-x \\ y=27-18\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=27-9 \\ \boxed{y=9}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{y=18} \\ \\ \boxed{\boxed{Ratio\ is\ 2:1\ or\ 1:2}} \\ \\ Hope\ it\ Helps:) \\ Domini[/tex]
[tex]if\ x=18\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ x=9 \\ \\ y=27-x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=27-x \\ y=27-18\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=27-9 \\ \boxed{y=9}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{y=18} \\ \\ \boxed{\boxed{Ratio\ is\ 2:1\ or\ 1:2}} \\ \\ Hope\ it\ Helps:) \\ Domini[/tex]