Question

if p and q are possitive integers and 6pq^4 and 12p^2q^2 have a greatest common factor of 1050 then what the possible value of the sum of p and q

Answer 1

GCF = 6pq^2 = 1050

so pq^2 = 175

175 = 5 * 5 * 7

therefor p = 7 and q = 5

p + q = 12