If 52x + 604 = 1400 and 151 + 13y

Question

If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

NandishSS · Answer

52x=1400-604 = 796

13x = 199 --> (1)

151 + 13y = 350

13y = 350-151 =199

13y = 199 --> (2)

1 - 2 gives us 0

Hence C

pushpitkc · Answer

If we multiply the 2nd equation by 4, we will get 604 + 52y = 1400(similar to 52x + 604 = 1400).

Therefore, the value of x-y is  0(Option C)

seed · Answer

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

To avoid unnecessary calculations if we can find a relationship between two equations then it will make our life easy. 
Seeing 52x + 604 = 1400 and 151 + 13y = 350, immediately it pops out that 52 is a multiple of 13. 13*4=52.
Now, we multiple equation two with 4 we will get eventually get the same values as equation 1 in terms of y. 604 + 52y = 1400.
So, x-y=0.

Answer: (C).

SSM700plus · Answer

This can be solved in many ways. But the easiest of all - is to find relation between two equation. 
This will take less time to solve this problem and will enable us to solve difficult question with more time in hand.

Let's take 2nd equation: 151 + 13y = 350. The only hint we have here is 13*4 = 52.
So lets multiply this equation by 4 ==> 604 + 52y = 1400.

The first equation is 52x + 604 = 1400.

==> x and y have same value. Hence x-y = 0.
Ans - C

AkshdeepS · Answer

If we divide 52x + 604 = 1400 by 4, it becomes 13x + 151 = 350. It means x = y

So x - y = 0

C.

BrentGMATPrepNow · Answer

The key here is to  avoid solving the two equations for x and y.

As others have show, we can do this by recognizing that each term in the equation  52x + 604 = 1400  is 4 times each term in the equation  151 + 13y = 350 
For example, (4)( 151 ) =  604 
And (4)( 13 ) =  52 
And (4)( 350 ) =  1400

So, if we take  151 + 13y = 350  and multiply both sides by 4, we get the  EQUIVALENT EQUATION :  604 + 52y = 1400 
Rearrange to get:  52y + 604 = 1400

So, we have: 
 52x + 604 = 1400 
 52y + 604 = 1400

Since both equations are set equal to 1400, we can say:  52x + 604  =  52y + 604 
Subtract 604 from both sides to get:  52x  =  52y 
Divide both sides by 52 to get:  x  =  y 
If x = y, then x - y = 0

Answer: C

Cheers,
Brent

Abhishek009 · Answer

52x = 796

Or,  x = 15. xxxx

13y = 199

Or,  y = 15. xxxx

Hence,  x – y = 15 - 15 = 0 , Answer must be (C)

hiranmay · Answer

If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0 -->   correct : 52x + 604 = 1400 => 13x +151=350 =>13x=350-151 --(i) & 151 + 13y = 350 => 13y=350-151--(ii) => so (i)-(ii) =>13x-13y=0 => x-y=0 
D) 11/52
E) 11/13

Nitintiwari · Answer

It’s simple 
1400= 604+52(15.30) > How 15.30 > 1400-604=796 >796/52 > x=15.30 
Same for 
350 = 151+13(15.30) > 350-151 = 191/13=15.30 >y=15.30 
X-Y =15.30-15.30 =0

Posted from my mobile device

MathRevolution · Answer

52x + 604 = 1400 and 151 + 13y = 350

=> Divide the equation by '4' we get => 13x + 151 = 350

=> 13x - 13 y = 0

=> x - y = 0

Answer C

Paras96 · Answer

Take Eqn 52x + 604 = 1400 
Divide both sides by 4 
=> 13x +151 = 350
=>13x=199------1

Take Eqn 151 + 13y = 350
=> 13y=350-151 = 199------2

Subtracting 1 & 2

=>13x-13y=0
=>x-y=0

Hence C

If 52x + 604 = 1400 and 151 + 13y

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If 52x + 604 = 1400 and 151 + 13y

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