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If x and y are nonnegative integers such that x + y = 2, then which a
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Updated on: 19 Jun 2019, 05:44
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If x and y are nonnegative integers such that x + y = 2, then which among the following can be the value of 7x + 3y? (A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III
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If x and y are nonnegative integers such that x + y = 2, then which a
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Updated on: 19 Jun 2019, 05:44
Given x+y=2 and both x and y are positive numbers. This means that 2 can be the value only if x=y=1.
Now, substitute the value of x and y in 7x+3y which will give the answer as 10. But that is not provided in the option.
Can you please tell the method of solving it?
Originally posted by Aprajita760 on 19 Jun 2019, 05:43.
Last edited by Aprajita760 on 19 Jun 2019, 05:44, edited 1 time in total.



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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 05:44
EgmatQuantExpert wrote: If x and y are nonnegative integers such that x + y = 2, then which among the following can be the value of 7x + 3y? (A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III
The key here is that x and y are nonnegative integersThis means there are only 3 possible solutions to the equation x + y = 2 case i: x = 0, y = 2, in which case, 7x + 3y = 7(0) + 3(2) = 6 case ii: x = 1, y = 1, in which case, 7x + 3y = 7(1) + 3(1) =10 case iii: x = 2, y = 0, in which case, 7x + 3y = 7(2) + 3(0) = 14 So, 7x + 3y can equal 6, 10 or 14 Answer: E Cheers, Brent
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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 05:45
GMATPrepNow wrote: EgmatQuantExpert wrote: If x and y are nonnegative integers such that x + y = 2, then which among the following can be the value of 7x + 3y? (A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III
The key here is that x and y are nonnegative integersThis means there are only 3 possible solutions to the equation x + y = 2 case i: x = 0, y = 2, in which case, 7x + 3y = 7(0) + 3(2) = 6 case ii: x = 1, y = 1, in which case, 7x + 3y = 7(1) + 3(1) =10 case iii: x = 2, y = 0, in which case, 7x + 3y = 7(2) + 3(0) = 14 So, 7x + 3y can equal 6, 10 or 14 Answer: E Cheers, Brent Got it! Thanks! :D



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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 05:46
X and Y can be either 0, 1 or 2 respectively. If we plug in the different possible values we get 7(1) + 3(1) = 10 7(0) + 3(2) = 6 7(2) + 3(0) = 14 Therefore, I would go with AC E, all results are possible.
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If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 05:54
Aprajita760 wrote: Given x+y=2 and both x and y are positive numbers. This means that 2 can be the value only if x=y=1.
Now, substitute the value of x and y in 7x+3y which will give the answer as 10. But that is not provided in the option.
Can you please tell the method of solving it? It is not positive. It is stated that it is nonnegative integer. Which means the options for x and y can be X + Y = 0,2 or 2,0 or 1,1 Hope it clears the air. Posted from my mobile device



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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 10:23
non ve integers ; 0,1,2,3,... so on so for x+y=2 we can have (1,1),(2,0),(0,2) so 7x+3y can be 6,10,14 IMO E EgmatQuantExpert wrote: If x and y are nonnegative integers such that x + y = 2, then which among the following can be the value of 7x + 3y? (A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III



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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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19 Jun 2019, 13:52
7x+3y= 4x+3x+3y= 4x+3(x+y)=4x+6 x can have 3 values 0.1 and 2 At x=0, 4x+6= 4*0+6=6 At x=1, 4x+6= 4*1+6=10 At x=2, 4x+6= 4*2+6=14 EgmatQuantExpert wrote: If x and y are nonnegative integers such that x + y = 2, then which among the following can be the value of 7x + 3y? (A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III



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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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26 Jun 2019, 02:41
Solution Given:• x and y are nonnegative integers • x + y = 2 To find:Approach and Working Out: • We are given that x and y are nonnegative integers.
o Implies, x = {0, 1, 2, 3, 4 …….} and y = {0, 1, 2, 3, 4 ………..} • And we know that, x + y = 2 • Thus, the possible values of (x, y), which satisfy the above conditions are (0, 2), (1, 1), (2, 0) Case 1: (x, y) = (0, 2) • Implies, 7x + 3y = 7*0 + 3*2 = 6 Case 2: (x, y) = (1, 1) • Implies, 7x + 3y = 7*1 + 3*1 = 10 Case 3: (x, y) = (2, 0) • Implies, 7x + 3y = 7*2 + 3*0 = 14 Hence, the correct answer is Option E. Answer: E
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Re: If x and y are nonnegative integers such that x + y = 2, then which a
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