If 6x+1 =n, then sum of all possible values of n between 2 and 30 for which x is an integer is?

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04 Aug 2010 Sum of all possible value?

If 6x+1 =n, then sum of all possible values of n between 2 and 30 for which x is an integer is?

OPtion

1) 78
2) 65
3) 68
4) 72
5) 75
6) 59
7) 60
8) 61
9) 64
10) 80

Solution

x = (n-1)/6, possible values of n are 7, 13, 19, 25
Sum = 64

Correct Option: 9 Best Solution (14)

Dr.Dipin Singh   13 years AGO

putting x= 0,1,2,3,4 ;
we get n= 1,7,13,19,25,;
7+13+19+25= 64

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Karthik Pandiyan   13 years AGO

Let eqn be 6x=n-1
n value will be 7,13,19,25
on adding ,we get 64

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Dolly   13 years AGO

n= 7,13,19,25,
7+13+19+25= 64

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~Sandeep~   13 years AGO

6x= (n-1) => "n-1" should be multiple of 6 and it should be a number between 2 and 30.
So sum of all values of n = 7+13+19+25 = 64

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sanjay pandey   13 years AGO

(n-1)/6 should be integer
=>(n-1) should be multiple of 6
=>possible combinations are as (n-1)can be equated to 6,12,18,24,......
solving it we get the values of n as 7,13,19,25,31
=>sum of all the values btw 2& 30 is (7+13+19+25=64)

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SUDESHNA SEN   13 years AGO

6x+1=n
or, x=(n-1)/6For x to be an integer, the R.H.S. should be an integer and this is possible for values of n= 7, 13, 19, 25, 31, 37, 43 and so on.
But since values of n are between 2 and 30, the sum of the values will be 7+13+19+25= 64..... Option 9)

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Trishita Dasgupta   13 years AGO

6x+1=n
or, x=(n-1)/6For x to be an integer, the R.H.S. should be an integer and this is possible for values of n= 7, 13, 19, 25, 31, 37, 43 and so on.
But since values of n are between 2 and 30, the sum of the values will be 7+13+19+25= 64..... Option 9)

Like? Yes (1) | No   

ASHOK ROY   13 years AGO

6x+1=n
or, x=(n-1)/6For x to be an integer, the R.H.S. should be an integer and this is possible for values of n= 7, 13, 19, 25, 31, 37, 43 and so on.
But since values of n are between 2 and 30, the sum of the values will be 7+13+19+25= 64..... Option 9)

Like? Yes (1) | No   

MP    13 years AGO

put x= 1,2,3,4 & get n= 7,13,19,25,
sum of all possible values of n between 2 and 30 = 7+13+19+25= 64

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Dr. Divya   13 years AGO

all possible values of n between 2 and 30= 7,13,19,25,
sum of all possible values of n between 2 and 30 = 7+13+19+25= 64

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Bimal   13 years AGO

possible values of n between 2 and 30= 7,13,19,25,
sum of all possible values of n between 2 and 30 = 7+13+19+25= 64

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pmvenkatesh   13 years AGO

We apply x=1,2,3,4,....
6(1)+1=7
6(2)+1=13
6(3)+1=19
6(4)+1=25
6(5)+1=31(its greater than 30)
Then sum of all nos those are less then 30
7+13+19+25=64

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A J V   13 years AGO

Put x=0,1,2,3,4,5.... in 6x+1.
Then n will be, 1,7,13,19,25,31,....
we need the values only between 2 and 30.
So, add 7+13+19+25= 64. Obtained.

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Achelal Sharma   13 years AGO

The possible values of n are
6*0+1=1
6*1+1=7
6*2+1=13
6*3+1=19
6*4+1=25
6*5+1=31
So the sum of the values between 2 and 30 is
7+13+19+25=64

Like? Yes (1) | No