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If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

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by AAPL » Mon Oct 05, 2020 3:38 am
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Magoosh

If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

A. 5/24
B. 5/16
C. 16/5
D. 25/4
E. 45/4

OA C
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Re: If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

by Scott@TargetTestPrep » Sun Oct 25, 2020 1:16 pm
AAPL wrote: ↑
Mon Oct 05, 2020 3:38 am
 Magoosh

If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

A. 5/24
B. 5/16
C. 16/5
D. 25/4
E. 45/4

OA C
Solution:

We can let the two numbers be a and b, and we need to find ab. We can create the equations:

a + b = 6

and

1/a + 1/b = 15/8

Simplifying the second equation, we have:

b/ab + a/ab = 15/8

(b + a)/ab = 15/8

Since b + a = a + b = 6, we have:

6/ab = 15/8

15ab = 48

ab = 48/15 = 16/5

Answer: C

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