Question

One number is three less than four times another.. if their difference is 48, what is the larger number

Answer 1

the large number is 63

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