SOLUTION: A number is three times another number. When the numbers are added, there sum is 60. What are the numbers? A student took a test composed of 20 questions, with correct answe

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Question 403673: A number is three times another number. When the numbers are added, there sum is 60. What are the numbers?

A student took a test composed of 20 questions, with correct answers worth 4 points. If the student received 52 points for his grade, how many questions were correct?

I need both answers to be solved step by step
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
I'll help you with the first one.
We'll let x and y represent the numbers.
x=3y
x+y=60
Substitute the first equation into the second one:
3y+y=60
Combine like terms and divide by 4 to get:
y=15
Now we know x is 45.
Make sense?
RJ
www.math-unlock.com