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dmitriy555 [2]
3 years ago
14

Find the greatest 4 digit number which becomes divisible by 24 and 28 when 100 is added to it

Mathematics
2 answers:
Nitella [24]3 years ago
5 0

Answer:

9912 is the biggest 4 digit number divisible by 24 and 28.

Step-by-step explanation:

AlexFokin [52]3 years ago
3 0

Answer:

9812

Step-by-step explanation:

To find it, you start with the prime factors of 24 and 28 to find the lowest common multiple, which is 168.

Any multiple of 168 will also be a multiple of 24 & 28.

I hope it helps you.....

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4 years ago
A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the
frutty [35]

The length and breadth(width) of the pool are

l\approx15.7m\text{ and }b\approx7.7m

Let

l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}

From the question, we can build the following relationships

l+2w=20\\b+2w=12

subtracting to eliminate w (we do not even need it!)

l-b=8\\b=l-8

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

lb+lb=2lb=20\times 12\\lb=120

We have two unknowns, l and b. Eliminate b

lb=120\\l(l-8)=120\\l^2-8l-120=0

If we solve the quadratic equation for l, we get

l=4+2\sqrt{34}\approx 15.7m

and

b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m

The length and breadth(width) of the pool are

l\approx15.7m\text{ and }b\approx7.7m

Learn more about area here: brainly.com/question/1447350

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4 years ago
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