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If p and q represent nonzero single-digit values in the correctly
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03 Nov 2021, 07:18
03 Nov 2021, 07:18
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If p and q represent nonzero single-digit values in the correctly worked addition problem above, what is the value of q + p?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 20
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Re: If p and q represent nonzero single-digit values in the correctly
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03 Nov 2021, 08:49
03 Nov 2021, 08:49
Carcass wrote:
If p and q represent nonzero single-digit values in the correctly worked addition problem above, what is the value of q + p?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 20
First add the column of units digits to get: 6 + 7 + 8 = 21
So, we carry the 2 so that it's included in the sum of the tens digits.
From here, we can see that the sum of the tens digits has units digit 1.
That is, 2 + 3 + 2 + q = ?1
In other words, 7 + q = ?1
So, it must be the case that q = 4, which means the sum of the tens digits = 11.
So, we carry the 1 so that it's included in the sum of hundreds digits.
Finally, we can see that the sum of the hundreds digits is 9.
In other words, 1 + p + 5 + 1 = 9
Solve to get: p = 2
At this point, we can confirm our values by adding the three numbers to get a sum of 911.
This means q + p = 4 + 2 = 6
Answer: C
gmatclubot
Re: If p and q represent nonzero single-digit values in the correctly [#permalink]
03 Nov 2021, 08:49
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