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

`x = 28, y = 15`

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.