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

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Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128871 [0], given: 12183

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

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19 Sep 2017, 01:21
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Question Stats:

57% (01:32) correct 43% (01:12) wrong based on 23 sessions

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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.
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128871 [0], given: 12183

Director
Joined: 18 Aug 2016
Posts: 511

Kudos [?]: 140 [1], given: 123

GMAT 1: 630 Q47 V29
Re: Jason has more shirts than his brother. How many shirts does Jason hav [#permalink]

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19 Sep 2017, 01:27
1
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.

(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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Thanks
Luckisnoexcuse

Kudos [?]: 140 [1], given: 123

Manager
Joined: 25 Nov 2015
Posts: 228

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

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
Jason has more shirts than his brother. How many shirts does Jason hav [#permalink]

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19 Sep 2017, 04:56
1
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.

Please give kudos, if u liked my post
_________________

When the going gets tough, the tough gets going...

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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