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  • 10-10-2018
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 10-10-2018

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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