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# If each term in the sum A1+A2+...+ An is either 7 or 77 and

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VP
Joined: 29 Apr 2003
Posts: 1371
If each term in the sum A1+A2+...+ An is either 7 or 77 and  [#permalink]

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16 Apr 2006, 03:14
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If each term in the sum A1+A2+...+ An is either 7 or 77 and the sum equals 350, which of the following could be equal to n?

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VP
Joined: 28 Mar 2006
Posts: 1277

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16 Apr 2006, 03:51
n =10

7x + 77y = 350

7(x+11y) = 350

x+11y = 50

x=6 y=4
Senior Manager
Joined: 09 Aug 2005
Posts: 269

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16 Apr 2006, 04:11
1
[quote="trivikram"]n =10

7x + 77y = 350

7(x+11y) = 350

x+11y = 50

x=6 y=4[/quote]

7 x 6 + 77 x4 = 42 + 308 =350

also

7 x 17 + 77 x 3 = 350

n = 20

what are the options?

7 x 17 + 77 x3 =
VP
Joined: 28 Mar 2006
Posts: 1277

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16 Apr 2006, 04:16
old_dream_1976 wrote:
trivikram wrote:
n =10

7x + 77y = 350

7(x+11y) = 350

x+11y = 50

x=6 y=4

7 x 6 + 77 x4 = 42 + 308 =350

also

7 x 17 + 77 x 3 = 350

n = 20

what are the options?

7 x 17 + 77 x3 =

Good catch...There are multiple values

x + 11y =50

17 , 3 as you mentioned is the other set

x= 28 and y =2 So n= 30

x=39 and y= 1 so n=40

Also x=50 and y=0 is also possible

So n=10,20,30,40,50
VP
Joined: 21 Sep 2003
Posts: 1023
Location: USA

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16 Apr 2006, 06:53
sm176811 wrote:
If each term in the sum A1+A2+...+ An is either 7 or 77 and the sum equals 350, which of the following could be equal to n?

I too get multiple values.. Source of the Q please?
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

VP
Joined: 29 Dec 2005
Posts: 1285

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16 Apr 2006, 07:58
sm176811 wrote:
If each term in the sum A1+A2+...+ An is either 7 or 77 and the sum equals 350, which of the following could be equal to n?

7 = x,
77 = 11x,
350= 50x

350= 50x = 11x+(50-11) x = 11x+ 39x, n = 40
350= 50x = 11 (2) x+ [50-11 (2) x] = 11 (2) x+ 28x, n = 30.

so on...... n is 40
VP
Joined: 29 Apr 2003
Posts: 1371

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16 Apr 2006, 08:02
AGreed its 40. I should have said the max value...

The question if from another forum, the OA given is 40. Though I guess teh question could have been framed better.
Director
Joined: 09 Oct 2005
Posts: 683

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16 Apr 2006, 09:54
Professor wrote:
sm176811 wrote:
If each term in the sum A1+A2+...+ An is either 7 or 77 and the sum equals 350, which of the following could be equal to n?

7 = x,
77 = 11x,
350= 50x

350= 50x = 11x+(50-11) x = 11x+ 39x, n = 40
350= 50x = 11 (2) x+ [50-11 (2) x] = 11 (2) x+ 28x, n = 30.

so on...... n is 40
:wave :beer you rule Pro))

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Re: If each term in the sum A1+A2+...+ An is either 7 or 77 and  [#permalink]

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27 Jul 2018, 06:54
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Re: If each term in the sum A1+A2+...+ An is either 7 or 77 and &nbs [#permalink] 27 Jul 2018, 06:54
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