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Two questions


Primarygun

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  • 2 weeks later...
Two questions.

They may be very simple and easy for you' date=' but a brain flash.

1.the square root of 20 consecutive positive intergers have the same intergral number, find that number.

2.(a-b)(c-d)/[(b-c)(d-a)=3

Find (a-c)(b-d)/[(a-b)(c-d)']

 

 

I think our problem is that the questions don't have answers.

 

1. If the number you want is x, then you are inisiting that [math]x=\sqrt{a}=\sqrt{a+1}=\sqrt{a+2}=...[/math] where a is some integer. Clearly this is impossible. Unless I am misunderstanding the question.

 

2. the eqaution you give gives a relation between a, b, c and d, but doesn't tell you their values. So the object you want to find is not known.

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I imagine the first question means "have the same integral part", not "are the same integer", and there are an infinite number of answers, indeed any number greater than 10 is a solution.

 

2. perhaps can be solved by rearrangement (eg, severian, jsut because i don't know a or b doesn't mean I can't write down a/b given that 3a=4b).

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sorry. Indeed , the first question I asked is very vague.

Thanks matt grime for clarifying the question again.

Ya. The second question has solution by arrangement.

The second question is taken from maths olympics. It is designed for students who are aged below 17. The first is for below 12.

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