Question

The sum of two numbers is 43. The sum of 3 times the larger and 6 times the smaller is 174. Find the numbers.

Answer 1

Answer:

$x = 28, y = 15$

Step-by-step explanation:

You can solve this by representing these two statements into equations and solving for one of the variables. Here, I will use x and y, where x > y.

$x + y = 43$

$3x + 6y = 174$

Now, we can choose which variable to solve for. I'm going to isolate one of the variables in the first equation by subtracting y from both sides.

$x = 43 -y$

Using this equation, we can substitute it for the x variable in the second equation like this:

$3(43 -y)+6y=174$

Simplifying this, we get

$129 + 3y = 174$

Solving this, we find that y = 15. We can plug this into one of the equations to find x:

$x + 15 = 43$

Solving for this equation, we find that x = 28.