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, 3x = 2(x + 4) + 3 x = 11.
Third integer = x + 4 = 15.
Video Explanation: https://youtu.be/_77C9YE321Y
Discussion:
75 comments Page 5 of 8.
Reshma said:
1 decade ago
If you take x+1 as first odd no. Then put 1 in the place of x, it becomes 1+1=2 its not odd integer you got it.
Aandrew said:
1 decade ago
Can any one say how to solve this in 32 seconds?
HYNDAVI said:
1 decade ago
But whats the reason to multiply 3 on both sides?
Sony said:
10 years ago
At first three number is x, x+2, x+4 these are three consecutive number.
Then according to question (three times the first of three consecutive odd number) here is our first number is x then,
Our first condition will be 3x----- (1).
And then 3 more than twice the third (there third is x+4).
3 more means 3+, twice means 2.
Then twice of third is 2(x+4).
Then again 3+2(2x+4) -------- (2).
Then from equation first and second we get:
3x = 3+2(x+4).
3x = 3+(2x+8).
3x = 3+2x+8.
3x-2x = 11.
x = 11.
Then our third integer is x+4 ==> 11+4 = 15.
Our third integer is (x+4) = 15.
Then according to question (three times the first of three consecutive odd number) here is our first number is x then,
Our first condition will be 3x----- (1).
And then 3 more than twice the third (there third is x+4).
3 more means 3+, twice means 2.
Then twice of third is 2(x+4).
Then again 3+2(2x+4) -------- (2).
Then from equation first and second we get:
3x = 3+2(x+4).
3x = 3+(2x+8).
3x = 3+2x+8.
3x-2x = 11.
x = 11.
Then our third integer is x+4 ==> 11+4 = 15.
Our third integer is (x+4) = 15.
Gayathri Ganesan said:
10 years ago
I got idea about this solution. But if we assume the solution by question as,
3 times the x of three consecutive integers whether is my assumption also possible na.
3(x+X+2+x+4) = 3+2(x+4) // I consider it for first 3 con int respectively.
Anyone can explain my logic please.
3 times the x of three consecutive integers whether is my assumption also possible na.
3(x+X+2+x+4) = 3+2(x+4) // I consider it for first 3 con int respectively.
Anyone can explain my logic please.
Sanjay said:
10 years ago
Simple way to solve problem z that, 3 times the x of 3 consecutive integers.
So, he said about odd numbers, now we take 3 consecutive are x, x+2, x+4, then we know odd numbers are 1, 3, 5, 7, 9,... so, take first 3 odd numbers and place like this, x+x+2+x+4, 1+3+2+5+4 = 15.
So, he said about odd numbers, now we take 3 consecutive are x, x+2, x+4, then we know odd numbers are 1, 3, 5, 7, 9,... so, take first 3 odd numbers and place like this, x+x+2+x+4, 1+3+2+5+4 = 15.
Saksham said:
10 years ago
Answer: 13.
Because 11 + 13 = 24.
9*3 = 27.
27-24 = 3.
Because 11 + 13 = 24.
9*3 = 27.
27-24 = 3.
RKO said:
9 years ago
0 is an even number, about what basis the given question doesn't take o is let me assume if we take consecutive no i.e. X+0=0, so we took directly "X".
Kishan said:
9 years ago
Why we go through option answers.
Three times the first = 3 (first number).
Twice the third one = 2 (third number).
3 more than that = 3 + 2 (third number).
To find the third number;
So, we apply the option a (or) b (or) c (or) d.
The first option is 9 if the third integer is 9 then the three odd numbers are 5, 7, 9.
=>So 3 (5) is not equal to 3 + 2 (9).
Option b = 11.
So, the numbers are 7, 9, 11.
=>3 (7) is not equal to 3 + 2 (11).
So let's try option d = 15.
The three odd numbers 11, 13, 15.
=> 3 (11) is equal to 3 + 2 (15).
So, the answer is 15.
Three times the first = 3 (first number).
Twice the third one = 2 (third number).
3 more than that = 3 + 2 (third number).
To find the third number;
So, we apply the option a (or) b (or) c (or) d.
The first option is 9 if the third integer is 9 then the three odd numbers are 5, 7, 9.
=>So 3 (5) is not equal to 3 + 2 (9).
Option b = 11.
So, the numbers are 7, 9, 11.
=>3 (7) is not equal to 3 + 2 (11).
So let's try option d = 15.
The three odd numbers 11, 13, 15.
=> 3 (11) is equal to 3 + 2 (15).
So, the answer is 15.
Akhilkondaparva said:
9 years ago
Let the three odd integers be x, x + 2 and x + 4.
(Integer = 1, 2 , 3).
If x = 1 then the three integers are 1, 3, 5 => which are odd.
Three times the first of three consecutive odd integers (Which is 3x) is.
3 more than (+3) twice the third [2 (x + 4) ] => 3x = 2 (x + 4) + 3x = 11.
Since we got "x", we have to find the third integer value i.e. x + 4 value.
=> Third integer = x + 4 = 15.
Hope you get this.
(Integer = 1, 2 , 3).
If x = 1 then the three integers are 1, 3, 5 => which are odd.
Three times the first of three consecutive odd integers (Which is 3x) is.
3 more than (+3) twice the third [2 (x + 4) ] => 3x = 2 (x + 4) + 3x = 11.
Since we got "x", we have to find the third integer value i.e. x + 4 value.
=> Third integer = x + 4 = 15.
Hope you get this.
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