ALGEBRA F3

 The sum of four consecutive even numbers is 316. Find the 3rd number.

 

Solution

 

Let the numbers be as shown in the table below

 

1st number	2nd number	3rd number	4th number	TOTAL
n	n+2	n+4	n+6	316

 

Then, n + (n+2) + (n+4) + (n+6) = 316

 

4n + 2+4+6= 316

 

4n + 12 = 316

 

4n = 316 – 12

 

4n = 304 

 

4n = 304

 4        4

 

n = 76

 

3rd number = n +4

 

                   = 76 + 4

 

                   = 80

 

Hence the 3rd number is 80

 

TRY THIS………………….. 

 

The sum of four consecutive even numbers is 372. Find the largest number.