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

Question

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

amanvermagmat · Answer

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

D3N0 · Answer

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)  ; 208 = (4/2) 
solve this and a = 22

push12345 · Answer

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)  ; 208 = (4/2) 
solve this and a = 22

Give kudos if it helps

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pushpitkc · Answer

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!

JeffTargetTestPrep · Answer

Let’s let x = the number of pages that Rose read on the first day. We see that (x + 20) is the number of pages she read on the second day; similarly, (x + 40) and (x + 60) are the numbers of pages she read on the 3rd and 4th days, respectively. We can then create the equation:

x + x + 20 + x + 40 + x + 60 = 208

4x = 88

x = 22

Answer: B

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

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