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There are 5 consecutive even integers the sum of the first two numbers is 78 less than the sum of the last three numbers what are the integers?
Let's call the third number X.
The first number is X-4
The second is X - 2
The fourth is X + 2
The fifth is X + 4
So now what do we know about these numbers?
Well they all add up to 5X
and
(X - 4) + (X - 2) + 78 = X + (X + 2) + (X + 4)
Add the Xs
2X - 6 + 78 = 3X + 6
Subtract the 6 from the right-hand side
2X - 6 + 78 - 6 = 3X
Simplify the numbers
2X + 66 = 3X
Subtract the 2X from the left-hand side
66 = 3X - 2X
66 = X
Now we can see that
The first number is 62
The second is 64
The third is 66
The fourth is 68
The fifth is 70
and
62 + 64 = 126
and
66 + 68 + 70 = 204
and
126 + 78 = 204
What else can I help you with?
What three consecutive numbers add up to 25?
That isn't possible. The three consecutive number are assumed to be integers; the sum of three consecutive integers is always a multiple of 3 (try it out).
What are three consecutive numbers that add up to 66?
The average of three numbers which sum to 66 is 66/3 = 22. If 22 is the sum of three consecutive integers, then those three integers are 21,22,23. Kermit Rose
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The numbers are 65, 66, and 67..
What are three consecutive integers whose sum is 171?
The numbers are 56, 57 and 58.
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The numbers are 101, 103 and 105.
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There are no such integers.
What three consecutive numbers add up to 25?
That isn't possible. The three consecutive number are assumed to be integers; the sum of three consecutive integers is always a multiple of 3 (try it out).
The sum of three consecutive integers is Negative 63 What are the three integers?
The numbers are -22, -21 and -20.
What are three consecutive numbers that add up to 66?
The average of three numbers which sum to 66 is 66/3 = 22. If 22 is the sum of three consecutive integers, then those three integers are 21,22,23. Kermit Rose
What are the integers There are three consecutive multiples of nine The sum of the first two numbers is 2853?
1422, 1431, 1440
What are three consecutive integers of 198?
The numbers are 65, 66, and 67..
The sum of three consecutive even integers is -48 find the integers?
The numbers are -18, -16 and -14.
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There is no set of three consecutive integers for 187.
What three consecutive integers have the sum of -15?
The numbers are -6, -5 and -4.
What three consecutive integerS have a sum of 159?
The numbers are 52, 53 and 54.
What are two consecutive integers that equal thirty three?
The numbers are 16 and 17.
What are three consecutive even integers for 786?
The numbers are 260, 262 and 264.
