SOLUTION: Find the two numbers whose sum is 45 and such that one is 4 times as large as the other.

Question 132922: Find the two numbers whose sum is 45 and such that one is 4 times as large as the other.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"two numbers whose sum is 45"--->

"one is 4 times as large"---->

Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Divide both sides by 5 to isolate x

Divide. So our first number is 9

Now that we know that , we can plug this into to find

Substitute for each

Simplify. So our second number is 36

So our answer is and which means that our two numbers are 9 and 36

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