Consecutive multiples of 7

Question

Find the four consecutive multiples of 7 whose sum is 294.

Am getting confused with these kind of problems....(sum of consecutive)

Can anyone give the basic formulas that can be used for this kind of problems.

ankur.agrawal · Answer

Ramalakshmi wrote:Find the four consecutive multiples of 7 whose sum is 294.

Am getting confused with these kind of problems....(sum of consecutive)

Can anyone give the basic formulas that can be used for this kind of problems.

Here's an easy method:

When numbers are evenly spaced, the average = the median.
Thus, 294/4 ≈ 73 is the median of the 4 consecutive multiples of 7.
The next 2 multiples of 7 larger than 73 = 77 and 84.
The next 2 multiples of 7 smaller than 73 = 63 and 70.
Thus, the four consecutive multiples of 7 whose sum is 294 are:

63, 70, 77, 84.

ankur.agrawal · Answer

Ramalakshmi wrote:Find the four consecutive multiples of 7 whose sum is 294.

Am getting confused with these kind of problems....(sum of consecutive)

Can anyone give the basic formulas that can be used for this kind of problems.

Here's an easy method:

When numbers are evenly spaced, the average = the median.
Thus, 294/4 ≈ 73 is the median of the 4 consecutive multiples of 7.
The next 2 multiples of 7 larger than 73 = 77 and 84.
The next 2 multiples of 7 smaller than 73 = 63 and 70.
Thus, the four consecutive multiples of 7 whose sum is 294 are:

63, 70, 77, 84.

arora007 · Answer

try keep things simple... x + (x+7)+ (x+14)+ (x+21) = 4x + 42 =294 4x = 252 x = 63 is the first of the series of 4 multiples of 7

GMATGuruNY · Answer

Ramalakshmi wrote:Find the four consecutive multiples of 7 whose sum is 294.

Am getting confused with these kind of problems....(sum of consecutive)

Can anyone give the basic formulas that can be used for this kind of problems.

Here's an easy method:

When numbers are evenly spaced, the average = the median.
Thus, 294/4 ≈ 73 is the median of the 4 consecutive multiples of 7.
The next 2 multiples of 7 larger than 73 = 77 and 84.
The next 2 multiples of 7 smaller than 73 = 63 and 70.
Thus, the four consecutive multiples of 7 whose sum is 294 are:

63, 70, 77, 84.

AIM GMAT · Answer

wrote:Ramalakshmi wrote:Find the four consecutive multiples of 7 whose sum is 294. Am getting confused with these kind of problems....(sum of consecutive) Can anyone give the basic formulas that can be used for this kind of problems. Here's an easy method: GMATGuruNY When numbers are evenly spaced, the average = the median. Thus, 294/4 ≈ 73 is the median of the 4 consecutive multiples of 7. The next 2 multiples of 7 larger than 73 = 77 and 84. The next 2 multiples of 7 smaller than 73 = 63 and 70. Thus, the four consecutive multiples of 7 whose sum is 294 are: 63, 70, 77, 84. Thanks GMATGuruNY for the super cool method , i just loved it.

gmat7202011 · Answer

This is an Arithmetic Progression with

n = number of terms = 4
d = common difference = 7
Sum = 294
a = first number of the progression

Sum = n/2( 2a + (n-1)d)

Solve for a = 63, the rest follow as 70,77 and 84

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