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
\(x-y = 48\)
One number x is three less than four times y
\(x= 4y-3\)
now we solve both equations for x and y
Lets solve the first equation for y
\(x-y = 48\)
add y on both sides
\(x= 48+y\)
Now subtract 48 from both sides
\(x-48 = y\)
Replace y in the second equation and solve for x
\(x= 4y-3\)
\(x= 4(x-48)-3\)
\(x=4x - 192 - 3\)
Subtract 4x on both sides
\(-3x=-189\)
Divide by -3
\(x=63\)
So the large number is 63
