Answer:
the large number is 63
Step-by-step explanation:
One number is three less than four times another.. if their difference is 48, what is the larger number.
Let the larger number is x and smaller number is y
[tex]x-y = 48[/tex]
One number x is three less than four times y
[tex]x= 4y-3[/tex]
now we solve both equations for x and y
Lets solve the first equation for y
[tex]x-y = 48[/tex]
add y on both sides
[tex]x= 48+y[/tex]
Now subtract 48 from both sides
[tex]x-48 = y[/tex]
Replace y in the second equation and solve for x
[tex]x= 4y-3[/tex]
[tex]x= 4(x-48)-3[/tex]
[tex]x=4x - 192 - 3[/tex]
Subtract 4x on both sides
[tex]-3x=-189[/tex]
Divide by -3
[tex]x=63[/tex]
So the large number is 63
