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# Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma

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Math Expert
Joined: 02 Sep 2009
Posts: 55802
Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma  [#permalink]

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25 Nov 2018, 23:45
00:00

Difficulty:

75% (hard)

Question Stats:

58% (02:10) correct 42% (02:15) wrong based on 53 sessions

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Jenny has 228 more marbles than Jack. If Bob gives each of them 133 marbles, Jenny will have twice as many marbles as Jack. How many marbles does Jenny have now?

A. 95
B. 190
C. 228
D. 323
E. 456

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Re: Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma  [#permalink]

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25 Nov 2018, 23:51
1
Jenny = 228 + Jack

Also Jenny+133 = 2(133+Jack)

228+Jack+133 = 266 + 2Jack
Jack = 95

Then Jenny = 228+95 = 323.

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Re: Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma  [#permalink]

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25 Nov 2018, 23:59
Let
No.of marbles John have = x
No.of marbles Jenny have = x+228

Bob gave 133 each to Jack (Jk) and Jenny(Jn).

No.of marbles(JK)= x+133
No.of marbles(Jn)= x+228+133=x+361

No.of marbles Jn= 2*(No.of marbles JK)

X+361=2*(x+133)
X+361=2x+266

Solving eqtn
2x-x=361-266

X=95= No.of marbles Jack

No.of marbles Jenny=95+228 =323

ANWSER- Opt - D

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Re: Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma  [#permalink]

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26 Nov 2018, 17:06
Jenny has 228 more marbles than Jack, so option A and B are out.

Between C, D and E, only 323 is odd and adding 133 to it can give an even number which can be twice of an integer value, so C and E are out as well.

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Re: Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma  [#permalink]

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26 Nov 2018, 21:24
Bunuel wrote:
Jenny has 228 more marbles than Jack. If Bob gives each of them 133 marbles, Jenny will have twice as many marbles as Jack. How many marbles does Jenny have now?

A. 95
B. 190
C. 228
D. 323
E. 456

Jenny = a and Jack= b

a=b+228== (1)

a+133= 2(b+133)-- (2)

solve for a & b using 1 & 2

we get a as 323 and b as 95

IMO D Bunuel answer should be option D not E..
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Re: Jenny has 228 more marbles than Jack. If Bob gives each of them 133 ma   [#permalink] 26 Nov 2018, 21:24
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