The positive integer divisors of 175, except 1, are arranged around a circle so that every pair of adjacent integers has a common factor greater than 1. What is the sum of the two integers adjacent to 7?

Given the factors shown in the previous answer, 7 has no common factors other than itself, therefore you will have to locate the 7 between the only other two factors that have 7 as a factor (i.e., are divisible by 7).