Posted by Roy on Monday, September 14, 2009 at 8:57pm.
"find three consecutive even intergers"
Let M be the middle integer.
The three numbers are M-2, M, M+2
"the sum of the first two integers is greater than 9 more than the third integer"
(M-2 + M) > M+2 + 9
on solving
M > 13
"sum of the first and third integers is less than 17 more than the second integer"
M-2 + M+2 < M+17
on solving
M < 17
That leaves us with two choices,
M=14, or M=16.
Check:
M=14
12+14=26 > 16+9=25 OK
12+16=28 < 14+17=31 OK
M=16
14+16=30 > 18+9=27 OK
14+18=32 < 16+17=33 OK
So there are two valid solutions,
12,14,16 or 14,16,18
Related Questions
Algebra - The sum of two consecutive even integers is 118. A. Define a variable ...
maths - 1. If the first and third of three consecutive odd integers are added, ...
math - Question part Points Submissions 1 2 3 0/1 0/1 0/1 0/2 0/2 0/2 Total 0/3 ...
8th grade math - the sum of three intergers is 193.The smaller two are ...
algebra - Five times the smallest of three consecutive odd integers is ten more ...
Algebra - If the first and third of three consecutive even integers are added, ...
Algebra - find three consecutive positive even integers such that the product of...
quad. eq. - find 3 consecutive integers such that the product of the second and ...
Math - Find three consecutive intergers such that the product of the first and ...
Math - Find three consecutive intergers such that the product of the first and ...
For Further Reading
