HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are
Pick one
A) 30 and 75 B) 35 and 70 C) 40 and 65 D) 45 and 60 E) 55 and 70
Explanation:   Let the numbers be 15a and 15b. Then,   15a + 15b = 105 or a+ b = 7 .. (i)   LCM = 15ab = 180   ab = 12..(ii)   Solving equations (i) and (ii), we get a=4, b=3   So, the numbers are 15 ×4 and 15 ×3, i.e., 60 and 45   Answer: 45 and 60
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HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are