Question

The sum of 5 successive odd numbers is 1075. What is the largest of these numbers?
1. 215
2. 223
3. 219
4. 217

Answer 1

STEP 1: Define the numbers:

Let the smallest number be x

1st number = x

2nd number = x + 2

3rd number = x + 4

4th number = x + 6

5th number = x + 8

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STEP 2: Form the equation:

The sum of these number is 1075

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 1075

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STEP 3: Solve x:

x + x + 2 + x + 4 + x + 6 + x + 8 = 1075

5x + 20 = 1075

5x = 1055

x = 211

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STEP 4: Find the numbers:

1st number = x = 211

2nd number = x + 2 = 211 + 2 =213

3rd number = x + 4 = 211 + 4 = 215

4th number = x + 6 = 211 + 6 = 217

5th number = x + 8 = 211 + 8 = 219

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Answer: The numbers are 211, 213, 215, 217 and 219

Answer 2

Hey there!!

Let us take the first number as ' x '

Then , the second number would be x + 2

Third number = x + 4

Fourth number = x + 6

Fifth number = x + 8

because if we take ' x ' as 1 , which is a odd number, then, the next odd number would be 3, so we have to add 2 to 1 to make it the consequtive odd number, the next odd is 5, we will have add 4.

The numbers are

x , x + 2 , x + 4 , x + 6 , x + 8

If we add them up , we get,

1075

5x + 20 = 1075

5x = 1055

x = 211

First number is 211, second is 211 + 2

third = 211 + 4

fourth = 211 + 6

fifth = 211 + 8

The numbers are :

211 , 213 , 215 , 217 , 219

The largest number is 219

The answer is 219

Hope my answer helps!

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