The sum of two numbers is 45. One number is 4 times as large as the other. What are the numbers?

1 answer:

8 0

We can define two variables:
x = large number
y = small number

Now, set up a system of equations:
$x + y = 45$
$4y = x$

Solve the system. I'm going to use the second equation to substitute 'x' into the first one (x = 4y):
$4y + y = 45$
$5y = 45$
$y = 9$

Plug that back into 2nd equation to find both numbers:
$4y = x$
$4(9) = x = 36$

So, x = 36 and y = 9.

We can check. 36 + 9 actually does equal 45 and 4 times 9 is 36. We match our initial criteria, so our answer is right.

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Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3135222-the-local-newspaper-has-letters-to-the-editor-from-60000-people.html

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