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Jason has more shirts than his brother. How many shirts does Jason hav

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Jason has more shirts than his brother. How many shirts does Jason hav [#permalink]

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New post 19 Sep 2017, 01:21
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Jason has more shirts than his brother. How many shirts does Jason have?

(1) The difference between the square of the number of shirts Jason has and the square of the number of shirts his brother has is 17.
(2) The total number of shirts that Jason and his brother own is 17.
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Re: Jason has more shirts than his brother. How many shirts does Jason hav [#permalink]

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New post 19 Sep 2017, 01:27
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Bunuel wrote:
Jason has more shirts than his brother. How many shirts does Jason have?

(1) The difference between the square of the number of shirts Jason has and the square of the number of shirts his brother has is 17.
(2) The total number of shirts that Jason and his brother own is 17.


(1) J^2 - B^2 = 17
(J+B)(J-B) = 17
only one option possible 17, 1 for (J+B)(J-B) (Both J & B are +ve integers)
hence J = 9 and B = 8

Sufficient

(2) J+B = 17
J = 15, B = 2 or J = 16, B=1...etc
Not Sufficient

A
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Jason has more shirts than his brother. How many shirts does Jason hav [#permalink]

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New post 19 Sep 2017, 04:56
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KUDOS
Bunuel wrote:
Jason has more shirts than his brother. How many shirts does Jason have?

(1) The difference between the square of the number of shirts Jason has and the square of the number of shirts his brother has is 17.
(2) The total number of shirts that Jason and his brother own is 17.


Given Jacob has > shirts than his brother.
let no. of shirts of Jacob be J and no. of shirts of his brother be B.
S1 - J^2-B^2 = 17
(J+B)(J-B)=17
We see that only numbers 9 and 8 satisfy the equation by trial and error.
hence sufficient.

S2-J+B=17
Here, J can be 10, B can be 7 or any other combinations.
Hence insufficient.

Answer A.

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Kudos [?]: 64 [1], given: 239

Jason has more shirts than his brother. How many shirts does Jason hav   [#permalink] 19 Sep 2017, 04:56
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