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If the sum of three consecutive integers is K
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28 Aug 2022, 21:55
28 Aug 2022, 21:55
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Question Stats:
80% (00:55) correct
20% (01:10) wrong based on 15 sessions
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If the sum of three consecutive integers is K, then which of the following is a possible value of K?
A) 199
B) 200
C) 201
D) 202
E) 203
A) 199
B) 200
C) 201
D) 202
E) 203
Re: If the sum of three consecutive integers is K
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29 Aug 2022, 10:57
29 Aug 2022, 10:57
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Expert Reply
let a be the first integer
a + (a+1) + (a+2) = k
3a + 3 = k
3 (a+1) = k
a+1 = k/3
K must be an integer divisible by 3.
Answer choice C
a + (a+1) + (a+2) = k
3a + 3 = k
3 (a+1) = k
a+1 = k/3
K must be an integer divisible by 3.
Answer choice C
Re: If the sum of three consecutive integers is K
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24 Oct 2024, 11:24
24 Oct 2024, 11:24
1
one Note: keep in mind not to calculate all options by 3 in order too check if it is divisible or not.
If the sum of digits a number is divisible by 3 the the number is also divisible by 3.
199 = 1+9+9 = 19/3
203= 2+3= 5/3
201= 2+1= 3/3 is divisble
I hope it helps to be faster.
If the sum of digits a number is divisible by 3 the the number is also divisible by 3.
199 = 1+9+9 = 19/3
203= 2+3= 5/3
201= 2+1= 3/3 is divisble
I hope it helps to be faster.
