Question

Show that there are infinitely many pairs integers a and b with gcd(a, b) = 5...

Show that there are infinitely many pairs integers a and b with gcd(a, b) = 5 and a + b = 65

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Answer #1

Here I'm using gcd(a,b)=5 definition gives 5|a and 5|b.and using divides defination a=5k1 and b=5k2 for k1 ,k2 be integers.answer is below thank you.

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