If k and p represent non-zero digits within the integers

Question

8k8
+ k88
--------
1,6p6

If k and p represent non-zero digits within the integers above, what is p?

A. 6
B. 7 
C. 8 
D. 9 
E. 17

Anwer is A and I got it by putting the value of K as 7 as that's the only value that fits in the equation to give me p =6. Is there any other way to solve this question?

Bunuel · Answer

8k8
+ k88
--------
1,6p6

If k and p represent non-zero digits within the integers above, what is p?

A. 6
B. 7 
C. 8 
D. 9 
E. 17

8k8
k88
--------
16p6

Trial and error or just plug-in method might be the shortest way to solve this problem. Though you can narrow down the possible values of k to just two: 7 and 8 --> 8**+7**=16** or 8**+8**=16** (k can not be less than 7 or 9, as the result won't be 16**). After that it's easy to get that k=7 and p=6.

Answer: A.

Hope it's clear.

subhajeet · Answer

by solving I got k=7 and p=6

galiya · Answer

Could you please help with this one (i'd like to see your logic - since mine was incorrect)

Bunuel · Answer

Merging similar topics. Please ask if anything remains unclear.

someonear · Answer

8k8= 800+10k+8
k88=100k+80+8
16p6=1000+600+10p+6

From the above we get 11k-p=71
Plugging in values and remembering both are non zero digits we have p=6

sagnik242 · Answer

question : how exactly did you get 11k - p = 71 ,

if this person is no longer here, bunuel can you outline the steps?

Thanks

Bunuel · Answer

(800 + 10k + 8) + (100k + 80 + 8) = 1000 + 600 + 10p + 6 --> 11k - p = 71.

anairamitch1804 · Answer

I tried to plug in the values but I am not getting the correct answer.

anairamitch1804 · Answer

The reason that we are not taking k as 8 is because it will be yield value of p as 17 and the resultant value will become 5 digit number?
Please correct me if my understanding is wrong.

AR15J · Answer

when k is 8 888---a 888---b ---- 1776 Even if K is 8, p can not be 17. P can be 17 only if 8+k(left most digits of a and b)+carry from previous term (carry from k+8) yields the unit digit as 1 and sum of k+8(middle one)+1(carry) has unit digit as 7. Because in addition, we consider only the unit digit of sum in each digit's addition until the last digits' sum come. We are not considering 8 because it is violating the digits of the sum given in question second digit from left should be 6 (as per question), however, in case of k=8, second digit from left is 7 which is not same. So, we can skip this choice. hope it helps.. +1 Kudos if you like the post

bumpbot · Answer

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If k and p represent non-zero digits within the integers

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If k and p represent non-zero digits within the integers

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