If p and n are integers such that p>n>0 and p (squared) - n (squared) = 12, which of the following can be the value of p-n

Question

Mathematics

Celia Bird

20 June, 06:50

If p and n are integers such that p>n>0 and p (squared) - n (squared) = 12, which of the following can be the value of p-n

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Answers (1)

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Madalyn Gallagher · Answer 1

P>n>0

p²-n²=12

Therefore:

(p+n) (p-n) = 12

Therefore:

p-n=12 / (p+n)

If p=4 and n=2

p>n>0 as 4>2>0

4-2=12 / (4+2)

As:

2=12/6

So:

p=4 and n=2.