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Mariana [72]
3 years ago
7

One number is one-fifth of another number. The two numbers total 18. Find the numbers

Mathematics
1 answer:
Masja [62]3 years ago
8 0

Answer:

One number is 17 and the other is 85.

Step-by-step explanation:

Let the numbers be m and n.  Let m = (1/5)n.  Note that m+n = 18.

Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18.  Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85.  m is (1/5) of 85, or m = 17.

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Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

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