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Mina Satti
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sum of Consecutive Integers 10 Jun 2017, 01:21
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100% (01:27) correct 0% (00:00) wrong based on 2 sessions

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Q) Four times the first of three consecutive odd integers is 10 more than twice the third number .What is the sum of these number?
a)30 B)31 C)32 D)33 E)35

Solution

let the first three consecutive odd number be x,x+2,x+4

now 4(x)=10+(2(x+4))
we solve it for x
x=9

now the first three numbers becomes 9,11,13 sum of them is =33

IS THIS THE RIGHT WAY TO DO?
CAN WE USE FORMULA TO FIND SUM BECAUSE IF I TRY TO PUT
SUM OF INCLUSIVE INTEGER FORMULA ON THESE THREE NUMBERS
ANSWER IS DIFFERENT
PLEASE EXPLAIN
THANK YOU!



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elegantm
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sum of Consecutive Integers 10 Jun 2017, 01:35
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Mina Satti
Q) Four times the first of three consecutive odd integers is 10 more than twice the third number .What is the sum of these number?
a)30 B)31 C)32 D)33 E)35

Solution

let the first three consecutive odd number be x,x+2,x+4

now 4(x)=10+(2(x+4))
we solve it for x
x=9

now the first three numbers becomes 9,11,13 sum of them is =33

IS THIS THE RIGHT WAY TO DO?
CAN WE USE FORMULA TO FIND SUM BECAUSE IF I TRY TO PUT
SUM OF INCLUSIVE INTEGER FORMULA ON THESE THREE NUMBERS
ANSWER IS DIFFERENT
PLEASE EXPLAIN
THANK YOU!
Show more

I believe this is a simple way to solve the problem.
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generis
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sum of Consecutive Integers 10 Jun 2017, 08:50
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Mina Satti
Q) Four times the first of three consecutive odd integers is 10 more than twice the third number .What is the sum of these number?
a)30 B)31 C)32 D)33 E)35

Solution

let the first three consecutive odd number be x,x+2,x+4

now 4(x)=10+(2(x+4))
we solve it for x
x=9

now the first three numbers becomes 9,11,13 sum of them is =33

IS THIS THE RIGHT WAY TO DO?
CAN WE USE FORMULA TO FIND SUM BECAUSE IF I TRY TO PUT
SUM OF INCLUSIVE INTEGER FORMULA ON THESE THREE NUMBERS
ANSWER IS DIFFERENT
PLEASE EXPLAIN
THANK YOU!
Show more
Mina Satti: Now you have me curious and a bit confused. :)

I'm not sure what you did the first time to try to get the sum.

Do you mean that you used the general formula for an arithmetic series. i.e. \(\frac{(First term + Last term)}{2}\)* (number of terms)?

As you note, the algebraic relation between first and last terms, given in the prompt, is 4(x)=10+(2(x+4)).

Do you mean that you tried to plug in the algebraic relation between the first term and last term INTO the general formula?

In this way: (\(\frac{1}{2}\))* [4x + (2x + 18)] * (3)? :?
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sum of Consecutive Integers 10 Jun 2017, 09:10
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Mina Satti
Q) Four times the first of three consecutive odd integers is 10 more than twice the third number .What is the sum of these number?
a)30 B)31 C)32 D)33 E)35

Solution

let the first three consecutive odd number be x,x+2,x+4

now 4(x)=10+(2(x+4))
we solve it for x
x=9

now the first three numbers becomes 9,11,13 sum of them is =33

IS THIS THE RIGHT WAY TO DO?
CAN WE USE FORMULA TO FIND SUM BECAUSE IF I TRY TO PUT
SUM OF INCLUSIVE INTEGER FORMULA ON THESE THREE NUMBERS
ANSWER IS DIFFERENT
PLEASE EXPLAIN
THANK YOU!
Show more

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Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Bunuel
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