SOLUTION: express 100 as the sum of two numbers for which the ratio of one number, increased by 5, to the other number, decreased by 5, is 4

Question 719957: express 100 as the sum of two numbers for which the ratio of one number, increased by 5, to the other number, decreased by 5, is 4
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
Here we go. Let's let x be the larger of the two numbers. For now we'll let t be the amount we can subtract from x to get the smaller of the 2 numbers. So

We next just put the ratio sentence into an equation we get

Well we know what x is in terms of t so we substitute that and get

so

If the large number is 75 we easily get the small number is 25. The two numbers clearly work.(80/20=4).

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