x + y = 27
(x)(y) = 180
so y = 27 -x from equation 1
substitute into equation 2 for y
(x)(27-x) = 180
27x -x^2 = 180
x^2 -27x +180 = 0
(x -12 ) (x -15 ) = 0
x= {12,15}
check: if x =12, then 12 +y = 27
y = 27 -12 = 15
if x = 15 then 15 + y = 27
y = 27 -15 = 12
since (x)(y) = 180
(15)(12) = 180
the numbers are 12 and 15
hope it helped ;-;
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Answers & Comments
x + y = 27
(x)(y) = 180
so y = 27 -x from equation 1
substitute into equation 2 for y
(x)(27-x) = 180
27x -x^2 = 180
x^2 -27x +180 = 0
(x -12 ) (x -15 ) = 0
x= {12,15}
check: if x =12, then 12 +y = 27
y = 27 -12 = 15
if x = 15 then 15 + y = 27
y = 27 -15 = 12
since (x)(y) = 180
(15)(12) = 180
the numbers are 12 and 15
hope it helped ;-;