2018 · Q13
The product of two integers p and q, where p > 60 and q > 60, is 7168 and their HCF is 16. The sum of these two integers is
Elementary MathematicsHCF and LCM
- A256
- B184
- C176
- D164
Explanation
Write p = 16a, q = 16b with coprime a, b. Then ab = 7168/256 = 28 = 4 x 7, the only coprime factorisation with both factors exceeding 60/16. So p = 64 and q = 112, giving p + q = 176. Hence option C.