x and y are integers less than 60 such that x is equal to the sum of t : Problem Solving (PS)

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x and y are integers less than 60 such that x is equal to the sum of t

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x and y are integers less than 60 such that x is equal to the sum of t [#permalink]

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10 Feb 2019, 05:14

00:00

Difficulty:

65% (hard)

Question Stats:

67% (02:55) correct

33% (02:40) wrong

based on 42 sessions

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x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9

Spoiler: OA

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Re: x and y are integers less than 60 such that x is equal to the sum of t [#permalink]

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10 Feb 2019, 05:48

SajjadAhmad wrote:

KeyWord = y is a multiple of 17 => 0,17,34, 51

x is equal to the sum of the squares of two distinct prime numbers
4+9 = 13
4+25 = 29
4+49 = 53
9+25 = 34

34-34

C
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Re: x and y are integers less than 60 such that x is equal to the sum of t [#permalink]

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12 Mar 2019, 12:01

Stem: x,y = ints < 60, what is x-y?
x= 1st pn²+next pn², y=17Q

Plug in numbers...
y=17, 34, 51
Anything higher is >60
2 as first number:
4+9 = 13, 4+25 = 29, 4+49 = 53
3 as first number:
9+25 = 34
9+49 = 58
Anything higher is >60

34 should immediately pop out as being a possible value of both x and y, thus x-y could = 0, C.