If PQ is a two-digit positive integer, what is the value of PQ?

Question

(1) P + Q = 4
(2) P - Q = 2

M01-32

Ravshonbek · Answer

C

1. P+Q=4 : 1+3=4, 3+1=4, 2+2=4, 4+0=4,

2. P-Q=2: 5-3=2, 3-1=2, 9-7=2

Combined. 31.

bmwhype2 · Answer

i did it differently.

1. P+Q=4
Q=4-P

2. P-Q=2
-Q=2-P
Q=P-2


Taken together, 

P-2=4-P
2P=6
P=3

P+q=4
3+q=4
q=1

PQ is a two digit integer
31

OA is C

sdas · Answer

c the answer. bmwhype2 - i think ur approach slightly may tk longer.it took me longer. from st 1 it is clear that numbers wl be between 1 and 4. frm st 2 the four choices boils down to 1 choice - as only 3-1 yielded 2.

Apex231 · Answer

If PQ is a two digit positive integer, what is the value of PQ?

1. P+Q= 4 
40
13
31
22
Not sufficient

2. P-Q = 2 
20
31
42 etc.

Not sufficient

1 + 2

31 sufficient.

Riti4357 · Answer

TARGET QUESTION : VALUE OF PQ
solving only one of the equations wont help to find the values of p and q, therefore both are needed so they can be added to get individual values of P,Q so we can find the sum. therefore both 1) and 2) taken together helps answering the target question. 
ANS) C

jmwon · Answer

Some of the posted answers identify 0 as some of the digit combination possibilities. I believe this to be incorrect as the problem statement clearly identifies POSITIVE integers. I believe this could save some precious seconds by not writing out those combinations.

VeritasPrepErika · Answer

Careful here: the question says that PQ is a positive integer, not that P and Q  individually  have to be positive. P can't be zero, as then PQ would actually be one digit instead of two (e.g. P=0, Q=4 --> PQ = 04). However, Q can be zero and give a positive, two-digit number (e.g. P=4, Q=0 --> PQ = 40).

While this slight misinterpretation doesn't impact the answer for this particular question, it absolutely could for another question. Little tricks of wording will miss you the problem, so read/translate slowly.

bumpbot · Answer

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If PQ is a two-digit positive integer, what is the value of PQ?

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If PQ is a two-digit positive integer, what is the value of PQ?

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