Distinct Primes
If ( a , b ) is the solution of the pair of linear equations 3 0 7 x + 3 0 8 y = 1 and 3 0 8 x + 3 0 7 y = 1 , then find the number of distinct prime divisors of a + b 2 .
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
- Verifying the above pair of linear equations , we know that the pair has a unique solution( a 2 a 1 is not equal to b 2 b 1 ) .
- Solving , we get a=b= 6 1 5 1 => a + b = 6 1 5 2 => a + b 2 = 2 / 6 1 5 2 => a + b 2 = 615
- Resolving 615 into prime factors , we get => 615 = 4 1 ∗ 3 ∗ 5
- Therefore , 615 has 3 distinct prime divisors.
- As there is no option containing 3 in it , the answer is None of these