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The sum of the reciprocals of two nonzero numbers is 3/5
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Updated on: 01 Oct 2024, 22:08
Updated on: 01 Oct 2024, 22:08
Expert Reply
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Question Stats:
80% (01:32) correct
20% (01:31) wrong based on 5 sessions
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The sum of the reciprocals of two nonzero numbers is \(\frac{3}{5}\). If the larger number is 5 times the smaller number, what is the value of the smaller number?
See more on these concepts our GRE Quant Book and the GRE Math Essentials project
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See more on these concepts our GRE Quant Book and the GRE Math Essentials project
Re: The sum of the reciprocals of two nonzero numbers is 3/5
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Updated on: 27 Oct 2021, 23:58
Updated on: 27 Oct 2021, 23:58
Let x and y be the original numbers.
x=larger number
y=smaller number
x=5y
(1/x)+(1/y) = (3/5)
(1/5y)+(1/y) = (3/5)
Multiplying both sides by 5y
1+5 = (3/y) => 6=(3y)
y=6/3 => y=2
Carcass please verify whether the solution is correct.
x=larger number
y=smaller number
x=5y
(1/x)+(1/y) = (3/5)
(1/5y)+(1/y) = (3/5)
Multiplying both sides by 5y
1+5 = (3/y) => 6=(3y)
y=6/3 => y=2
Carcass please verify whether the solution is correct.
Re: The sum of the reciprocals of two nonzero numbers is 3/5
[#permalink]
27 Oct 2021, 23:55
27 Oct 2021, 23:55
Expert Reply
x=smaller
y=5x=the larger
1/x+1/5x=3/5
solve
x=2
y=5x=the larger
1/x+1/5x=3/5
solve
x=2
