SOLUTION: The sum of 2 numbersa is 41. The larger number is more than 4 times the smaller number. What are these numbers

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Question 316528: The sum of 2 numbersa is 41. The larger number is more than 4 times the smaller number. What are these numbers
Answer by moshiz08(60) About Me  (Show Source):
You can put this solution on YOUR website!
Call the two numbers x and y. Let's say x is larger than y.
The larger number, x, is 4 times the smaller number, y. Written as an equation this says +x+=+4%2Ay.
The sum is 41, so +x+%2B+y+=+41.Now we can substitute our equation for x into this one.
+x+%2B+y+=+41
+4%2Ay+%2B+y+=+41
+5y+=+41+
y+=+41%2F5+=+8.2+
Then x+=+4%2Ay+=+4+%2A+8.2=+32.8.
Now we can check: indeed, the larger number 32.8 is 4 times the smaller number 8.2. When you add them, 32.8 + 8.2, you get 41, so this checks.