Tuesday

September 16, 2014

September 16, 2014

Posted by **rr** on Monday, September 30, 2013 at 10:42am.

- la sallle -
**Graham**, Monday, September 30, 2013 at 12:10pmThree consecutive even integers are:

2n, 2n+2, 2n+4, where n is an integer.

The rule is thus:

2(2n+4)/2n = (3/5)(2n+2) - 3

Rearranging gives:

0 = 6 n^{2}- 19n - 20

Find the integer root(s) of this quadratic. Solve for integer n.

Use n to find the three consecutive even numbers.

- la sallle -
**Reiny**, Monday, September 30, 2013 at 1:27pmI would let my 3 consecutive even integers be

x-2, x, and x+2

2(x+2)/(x-2) =3x/5 - 3

expanding and collecting like terms gives us

3x^2 - 31x + 10 = 0

(x-10)(3x - 1) = 0

x = 10 or x = 1/3, but x is an integer, so

x = 10

the integers are 8, 10 , and 12

**Answer this Question**

**Related Questions**

math - A. Four times one odd integer is 14 less than three times the next even ...

maths - The smallest of three consecutive integers is added to the largest, the ...

maths - The smallest of three consecutive integers is added to the largest, the ...

math - 1. The largest of five consecutive integers is twice the smallest. Find ...

equation - the smallest 3 consecutive integers is added to twice the largest , ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Math Algebra - Two times the smallest of three consecutive odd integers is one ...

math - there are three consecutive positive integers such that the sum of the ...

maths - 1. If the first and third of three consecutive odd integers are added, ...