Take x and y as the two numbers, the sum of these is 24:
[tex]x+y=24[/tex]It is also stated that the second number, y, is 4 less than the first, x, it means:
[tex]y=x-4[/tex]The system of equations is:
[tex]\begin{gathered} x+y=24 \\ y=x-4 \end{gathered}[/tex]Use the second equation, which is solved for y and replace this expression for y in the first equation, then solve for x:
[tex]\begin{gathered} x+y=24 \\ x+(x-4)=24 \\ x+x-4=24 \\ 2x=24+4 \\ 2x=28 \\ x=\frac{28}{2} \\ x=14 \end{gathered}[/tex]x has a value of 14. Use this value and the second equation to find the value of y:
[tex]\begin{gathered} y=x-4 \\ y=14-4 \\ y=10 \end{gathered}[/tex]The solution for the system is (14,10). The correct answer is B.
