Answer:
The value of the larger number is
[tex]x=24[/tex]
Step-by-step explanation:
A number, x, is 4 times another number, y.
[tex]x=4y[/tex] --------- (1)
The difference between the two numbers is 18.
[tex]x-y=18[/tex] -------(2)
Re-arranging equation (2) yields
[tex]-y=18-x\\y=x-18[/tex]------------- (3)
Substitute y=x-18 in equation (1)
[tex]x=4 (x-18)[/tex]
[tex]x=4x-72\\x-4x=-72[/tex]
[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]
Substitute x=24 in equation (3)
[tex]y=24-18\\y=6[/tex]
