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If the square root of the product of two positive integers is 14, whic
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22 Jun 2021, 08:27
22 Jun 2021, 08:27
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If the square root of the product of two positive integers is 14, which can be the sum of the two integers?
Indicate all such sums.
(A) 35
(B) 53
(C) 84
(D) 100
(E) 197
Indicate all such sums.
(A) 35
(B) 53
(C) 84
(D) 100
(E) 197
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Official Answer
A,B,D,E
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Re: If the square root of the product of two positive integers is 14, whic
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22 Jun 2021, 10:32
22 Jun 2021, 10:32
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Carcass wrote:
If the square root of the product of two positive integers is 14, which can be the sum of the two integers?
Indicate all such sums.
(A) 35
(B) 53
(C) 84
(D) 100
(E) 197
Indicate all such sums.
(A) 35
(B) 53
(C) 84
(D) 100
(E) 197
Let the positive integers be \(x\) and \(y\)
So, \(\sqrt{xy} = 14\)
i.e. \(xy = 196\)
Factorize \(196 = (2)(2)(7)(7)\)
(1) + (2)(2)(7)(7) = 197
(2) + (2)(7)(7) = 100
(2)(2) + (7)(7) = 53
(2)(2)(7) + (7) = 35
Hence, option A, B, D, and E
gmatclubot
Re: If the square root of the product of two positive integers is 14, whic [#permalink]
22 Jun 2021, 10:32
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