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VARVARA [1.3K]
3 years ago
14

Consider the following statement: If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's an

d Fred's. Write the To Prove statement:
Mathematics
2 answers:
vovangra [49]3 years ago
8 0

Answer & Step-by-step explanation:

To prove statement: Prove that Bill's age is between Paul's and Fred's. The to prove statement of a conditional in found in the conclusion of the conditional.

<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>
sveticcg [70]3 years ago
7 0

Explanation:

It is given than Paul is older than Bill.

Let age of Bill= x years, as x is a  natural number.

Then, age of Paul = (x + a) Years, where a is any natural number.

And, Fred is younger than Bill.

So, age of Fred= x - k, where k is any natural number.

So, if we arrange the ages of Fred, Bill and Paul, their ages would be

Fred < Bill < Paul

x-k < x < x+a

Hence, we can say that , Paul is eldest, and Fred is smallest member between  three.

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A washer and a dryer cost $847 combined. The washer costs $53 less than the dryer. What is the cost of the dryer?
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Define x :
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Let the dryer be x.
Dryer = x 
Washer = x -53

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Construct Equation :
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The washer and the dryer cost $847
⇒ x + x - 53 = 847

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Solve x :
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x + x - 53 = 847
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x = 450

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Find cost of dryer and washer :
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Dryer = x = $450
Washer = x = 450 - 53 = 397

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Answer: Dryer = $450
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