find the sum of 3 consicutive which sums 200
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Answered by
6
Let the numbers be x, x+1, x+2
Then
A.T.Q ;
x + x + 1 +x+2 = 200
3x + 3 = 200
3x=197
x=197/3
x=67 ans.
x+1=68 ans.
x+2=69 ans.
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Answered by
1
Answer:
- We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 200. Therefore, you can write the equation as follows:
- (X) + (X + 1) + (X + 2) = 200
- What three consecutive integers have a sum of 200?
- Three Consecutive Integers
- Here we will use algebra to find three consecutive integers whose sum is 200.
- We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 200.
- Therefore, you can write the equation as follows:
- (X) + (X + 1) + (X + 2) = 200
- Too solve for X, you first add the integers together and the X variables together.
- Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
- X + X + 1 + X + 2 = 200
- 3X + 3 = 200
- 3X + 3 - 3 = 200 - 3
- 3X = 197
- 3X/3 = 197/3
- X = 65 2/3
- Since 65 2/3 is not an integer, there is no true answer to this problem.
- However, there are three numbers that add up to 200.
- The first number is (65 2/3), the second number is (65 2/3) + 1, and the third number is (65 2/3) + 2.
- Therefore, we could make this the answer to "Three consecutive numbers that add up to 200 are:-
- 65 2/3 + 66 2/3 + 67 2/3 = 200.
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