Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]x[/tex] is the larger number.
[tex]y[/tex] is the smaller number.
[tex]x+y=30\\2x-3y=5[/tex]
It becomes a simultaneous equation.
Let's solve for [tex]y[/tex]:
[tex]x=-y+30[/tex]
[tex]2x-3y=5\\2(-y+30)-3y=5\\-5y+60=5\\-5y+60+-60=5+-60\\-5y=-55\\y=11[/tex]
Let's solve for [tex]x[/tex]:
[tex]x=-y+30\\x=-11+30\\x=19[/tex]
Find out the positive difference between the two numbers.
[tex]x-y\\19-11\\=8[/tex]
