Answer: The two numbers are 3 and 4.
Step-by-step explanation:
Let the larger number be x and the smaller number be y .
Three times a larger number added to 4 times a smaller number totals 24.
[tex]3x+4y=24------------------(1)\\\\2x-2y=2\\\Rightarrow\ x-y=1\\\Rightarrow\ x=1+y-----------------(2)[/tex]
[tex]3(1+y)+4y=24\\\\\Rightarrow\ 3+3y+4y=24\\\\\Rightarrow\ 7y=21\\\\\Rightarrow\ y=3[/tex]
Substitute y=3, in equation (2), we get
[tex]x=1+3=4[/tex]
Hence, the two numbers are 3 and 4.
