Question

The total of two numbers is 28. Four times the smaller number is 7 more than three times the larger number.

Answer 1

Let's define:

`x \ \textless \ y`

So, you can set up a system of equations:

`x + y = 28`

`4x = 7 + 3y`

Now, to solve for both of those values, solve the system of equations:

`x = 28 - y`

`4(28-y) = 7+3y`

`122-4y=7+3y`

`115 -4y = 3y`

`115 = 7y`

`y = 16.43`

Now, plug that y-value into the first equation to solve for x:

`x + 16.43=28`

`x = 11.57`

Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.