Answer:
The smaller number is 8
The larger number is 12
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
Translate the question and solve ;
[tex]x +y = 20\\3(x) =2(y) \\\\\begin{bmatrix}x+y=20\\ 3x=2y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+y=20:\quad x=20-y\\\\\mathrm{Subsititute\:}x=20-y\\\\\begin{bmatrix}3\left(20-y\right)=2y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:3\left(20-y\right)=2y:\quad y=12\\\\\mathrm{For\:}x=20-y\\\\\mathrm{Subsititute\:}y=12\\\\x=20-12\\\\Simplify\\\\x =8\\\\x=8,\:y=12[/tex]
