Q1. If the sum of two positive numbers is 80 and the L.C.M. and HCF of these numbers are 60 and
20 respectively, then the sum of the reciprocals of the numbers is equal to:
A. 1/15
B. 2/3
C. 8/15
D. 1/2
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1
Answer:
A.1/15
Step-by-step explanation:
a+b=80
LCM of a &b=60
HCF of a &b=20
to find:->1/a+1/b
=b/ab+a/ab
=a+b/ab
=80/ab
a×b=HCF of a&b×LCM of a&b
ab=20×60
ab=1200
1/a+1/b=80/1200
=8/120
=1/15
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