Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 2)
2.
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
9
11
13
15
Answer: Option
Explanation:

Let the three integers be x, x + 2 and x + 4.

Then, 3x = 2(x + 4) + 3      x = 11.

Third integer = x + 4 = 15.

Video Explanation: https://youtu.be/_77C9YE321Y

Discussion:
75 comments Page 7 of 8.

Prabhu said:   1 decade ago
How will come? please explain. I couldn't understand.

3x = 2(x+4)+3.

Raj said:   1 decade ago
Any one can explain these problems why we assume the number as X+1, X+2X, X+3?

Amrith said:   1 decade ago
Three times the first of three consecutive odd integers.

Why is 3x taken didn't get it.

Geetha said:   1 decade ago
What they said in question in three consecutive odd numbers, first number 3 times and 2 times of 3 rd number different is 3.

So we can consider that number should be like this.

x, x+2, x+4.
3x-2 (x+4) = 3.
x-8 = 3.
x = 11.

They asked about the third number so it is x+4 = 11+4 = 15.

Sathish said:   1 decade ago
How this 3x = 2(x + 4) + 3 came up, please explain?

Cutie said:   1 decade ago
@Muthu the answer is 15 you solved it as 11 this is wrong.

3x = 2(x+4)+3.
3x = 2x+8+3.
3x = 2x+11.
3x-2x = 11.
x = 11.

Like this :).

Saji said:   1 decade ago
Hai can any one clear my doubt. They have mentioned it as three consecutive odd integers. If 0 is substituted in the place of x it becomes three even integers.

Muthu said:   1 decade ago
Hi guys. Any one clear my doubt.

3x = 2(x+4)+3.

How can you get above steps ?

Learner said:   1 decade ago
I believe when integers have been mentioned in the question and not positive or negative so better to have them as
2x-1, x, 2x+1.... and then solve the problem.

So the third integer comes out to be 9.

Govind said:   1 decade ago
Num are 2x+1, 2X+3, 2X+5 then.

3(2X+1) = 2(2x+3)+3.

6x+3 = 4x+6+3.

x = 2.

Third integer: 2x+5 = 9.


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