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.