# 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:

Answer: Option

Explanation:

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

Then, 3*x* = 2(*x* + 4) + 3 *x* = 11.

Third integer = *x* + 4 = 15.

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

Discussion:

74 comments Page 2 of 8.
Sanjay said:
6 years ago

Consecutive mean 1 after one. i.e 1, 3, 5, 7etc.

(1)

Chandan kumar said:
6 years ago

Let first consecutive odd integer=x+1,

second consecutive odd integer= x+3,

Third consecutive odd integer=x+5,

3(x+1)=2(x+5)+3,

3x+3= 2x+10+3,

3x-2x=13-3,

x=10.

Third consecutive odd integer=x+5,

= 10+5,

= 15.

second consecutive odd integer= x+3,

Third consecutive odd integer=x+5,

3(x+1)=2(x+5)+3,

3x+3= 2x+10+3,

3x-2x=13-3,

x=10.

Third consecutive odd integer=x+5,

= 10+5,

= 15.

Kelhen said:
6 years ago

Three consecutive odd integers that's;

X+1, x+3, x+5,

From the question.

3(x+1) = 2(x+5)+3,

3x+3 = 2x+10+3,

X = 10.

Therefore the third integer is;

X+5;

10+5 = 15.

X+1, x+3, x+5,

From the question.

3(x+1) = 2(x+5)+3,

3x+3 = 2x+10+3,

X = 10.

Therefore the third integer is;

X+5;

10+5 = 15.

Abinash said:
6 years ago

I could not get how 3X came in the question it is given that 3 times the first three consecutive number what my point is that it should be 3{X (X+2) (X+4) } but why is it 3X?

Sukanya said:
6 years ago

But 2x+1,2x+3,2x+5. are better examples to understand this problem because if we substitute even numbers in x, x+2,x+3 we didn't get odd numbers.

M.Muthumari said:
6 years ago

Consecutive means numbers follow in a series or sequence (i.e) each number follow in order.

Ex: consecutive num-1 2 3 4 5 6 7 Etc.

consecutive even num - assume x is even

Then x x+2 x+4 is even

(i.e) x=2 x+2=4 x+4=6

2 4 6 is even

Consecutive odd num - assume x is odd

Then x x+2 x+4 is odd

(i.e) x=1 x+2=3 x+4=5

1 3 5 is odd

Soln.

First three consecutive odd x x+2 x+4

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

x=11

Third num=x+4=11+4=15.

Ex: consecutive num-1 2 3 4 5 6 7 Etc.

consecutive even num - assume x is even

Then x x+2 x+4 is even

(i.e) x=2 x+2=4 x+4=6

2 4 6 is even

Consecutive odd num - assume x is odd

Then x x+2 x+4 is odd

(i.e) x=1 x+2=3 x+4=5

1 3 5 is odd

Soln.

First three consecutive odd x x+2 x+4

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

x=11

Third num=x+4=11+4=15.

A.M.M said:
6 years ago

Let the three consecutive old numbers be; x+3, x+5, x+7,

3 times the first odd num = 3(x+3).

2 times the third odd num = 2(x+7) +3(which is in the question

3(x+3)=2(x+7)+3,

=3x+9=2x+14+3,

3x-2x=14+3-9,

x = 8.

Now to know what the the third integer is (x+7),

So x =8+7,

=15.

3 times the first odd num = 3(x+3).

2 times the third odd num = 2(x+7) +3(which is in the question

3(x+3)=2(x+7)+3,

=3x+9=2x+14+3,

3x-2x=14+3-9,

x = 8.

Now to know what the the third integer is (x+7),

So x =8+7,

=15.

Megersa said:
7 years ago

Three consecutive integers are: x, x+2 &x+4 but if it says three times the first of three consecutive, it means that 3 (x+x+2+x+4) not 3x, so doing by this method the result becomes negative integer, so by itself, the question has its own problem.

Baal said:
7 years ago

In question written is three consecutive odd integer.

Can, I do like this if I take odd no time two?

3x + 5x + 7x= 15.

Can, I do like this if I take odd no time two?

3x + 5x + 7x= 15.

Kavitha said:
7 years ago

Zero included in a set of whole numbers. So if we start putting 1, 3, 5 .....in x, we get the consecutive odd numbers only!!

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