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Problems on H.C.F and L.C.M
If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
55⁄601
601⁄55
11⁄120
120⁄11
Show Answer
Correct Answer:
11⁄120
Explanation:
Let the numbers be
a
and
b
Then,
a
+
b
= 55 and
ab
= 5 x 120 = 600.
∴ The required sum =
1
+
1
=
a
+
b
=
55
=
11
a
b
ab
600
120
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