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The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
12⁄35
1⁄35
35⁄8
7⁄32
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Correct Answer:
12⁄35
Explanation:
Let the numbers be
a
and
b
. Then,
a
+
b
= 12 and
ab
= 35.
∴
a
+
b
=
12
⟹
❨
1
+
1
❩
=
12
ab
35
b
a
35
∴ Sum of reciprocals of given numbers =
12
35
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