Answer:
The numbers are 6 and 9
Step-by-step explanation:
Let the two numbers be x and y.
Given :
The sum of two numbers [tex]x+y=15[/tex] equation:1
Also the difference of x and y [tex]x-y= -3[/tex] equation:2
On solving equation:2
[tex]x=y-3[/tex] equation:3
Putting this value of x in equation 1.
[tex]x+y=15\\\\(y-3)+y=15\\2y-3=15\\2y=15+3\\2y=18\\y=18/2\\y=9[/tex]
Putting value of y in equation:3 to find x
[tex]x=y-3\\x=9-3\\x=6[/tex]