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Rose read a novel that has 208 pages in four days. Each day she read 2

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Rose read a novel that has 208 pages in four days. Each day she read 2 [#permalink]

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New post 25 Apr 2018, 21:52
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Rose read a novel that has 208 pages in four days. Each day she read 20 more pages than she read the previous day. How many pages did Rose read on the first day?

(A) 20
(B) 22
(C) 24
(D) 26
(E) 28

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Re: Rose read a novel that has 208 pages in four days. Each day she read 2 [#permalink]

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New post 25 Apr 2018, 22:29
Bunuel wrote:
Rose read a novel that has 208 pages in four days. Each day she read 20 more pages than she read the previous day. How many pages did Rose read on the first day?

(A) 20
(B) 22
(C) 24
(D) 26
(E) 28


Let the pages read on first day be X, so then the pages read on next three days become X+20, X+40, X+60 respectively. Sum = X + X+20 + X+40 + X+60 = 4X + 120 = 4*(X + 30). This is equal to 208 given. So X+30 = 52 or X=22.

Hence B answer
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Re: Rose read a novel that has 208 pages in four days. Each day she read 2 [#permalink]

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New post 26 Apr 2018, 02:58
Bunuel wrote:
Rose read a novel that has 208 pages in four days. Each day she read 20 more pages than she read the previous day. How many pages did Rose read on the first day?

(A) 20
(B) 22
(C) 24
(D) 26
(E) 28


Ans: B
We can also solve this as an arithmetic progression.
Total 208 of an AP with d=20 n=4 need to find the first term.
Total = (n/2)[2a+(n-1)d] ; 208 = (4/2)[2a+ (4-1)20]
solve this and a = 22
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Re: Rose read a novel that has 208 pages in four days. Each day she read 2 [#permalink]

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New post 13 May 2018, 10:18
Above question can be done by two methods

I)X+20, X+40, X+60 respectively. Sum = X + X+20 + X+40 + X+60 = 4X + 120 = 4*(X + 30)=208

So X+30 = 52 or X=22

II)Total 208 of an AP with d=20 n=4 need to find the first term.
Total = (n/2)[2a+(n-1)d] ; 208 = (4/2)[2a+ (4-1)20]
solve this and a = 22

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Rose read a novel that has 208 pages in four days. Each day she read 2 [#permalink]

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New post 13 May 2018, 12:28
Bunuel wrote:
Rose read a novel that has 208 pages in four days. Each day she read 20 more pages than she read the previous day. How many pages did Rose read on the first day?

(A) 20
(B) 22
(C) 24
(D) 26
(E) 28


Since Rose reads the novel in 4 days and the pages she reads increase by 20 every day,
4 * (units digit of the number of pages she reads on the first day) = 8

Only Option B(22) remains and is our answer!
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Rose read a novel that has 208 pages in four days. Each day she read 2   [#permalink] 13 May 2018, 12:28
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Rose read a novel that has 208 pages in four days. Each day she read 2

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