HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are:	Choose the correct choice from the following choices:  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: