Posted by rr on Monday, September 30, 2013 at 10:42am.
There are 3 consecutive even integers such that the quotient obtained by dividing twice the largest integer by the smallest integer is three less than threefifths of the second integer. What are the integers?

la sallle  Graham, Monday, September 30, 2013 at 12:10pm
Three 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 1:27pm
I would let my 3 consecutive even integers be
x2, x, and x+2
2(x+2)/(x2) =3x/5  3
expanding and collecting like terms gives us
3x^2  31x + 10 = 0
(x10)(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  Find three consecutive even integers such that the sum of the smallest ...
 math  A. Four times one odd integer is 14 less than three times the next even ...
 math  The smallest of three consecutive integers is added to twice the largest...
 math  What is the smallest of three consecutive integers if the sum of the ...
 math  What is the smallest of three consecutive integers if the sum of the ...
 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  What is the smallest of three consecutive integers if the sum of the ...
 math  1. The largest of five consecutive integers is twice the smallest. Find ...
 Algebra  A.Write and solve an equation to find three consecutive integers with ...
More Related Questions