Posted by Karina on Sunday, April 10, 2011 at 11:16pm.
The product of two consecutive integers is two hundred forty. Find the two integers.

math  Ms. Sue, Sunday, April 10, 2011 at 11:19pm
The square root of 240 = 15.49

math  Jai, Sunday, April 10, 2011 at 11:23pm
first represent unknowns using variables,,
let x = first number
let x+1 = second number
note that the second number is x+1 because they are consecutive numbers.
now we set up the equation,, according to problem, their product is 240, thus:
x(x+1) = 240
x^2 + x = 240
x^2 + x  240 = 0
to solve for x, we can either factor it (if it's factorable) or use quadratic formula. since it's factorable, let's just factor this:
(x15)(x+16) = 0
x = 15 and x = 16
thus there are 2 pairs of answers:
(i) x = 15 and x+1 = 16 ; and
(ii) x = 16 and x+1 = 15
hope this helps~ :)
Answer This Question
Related Questions
 Algebra  The sum of the squares of two consecutive positive even integers is ...
 algebra  Five times the smallest of three consecutive odd integers is ten more ...
 math  The product of two consecutive positive even integers is 48. Find the ...
 math  the product of two even consecutive integers is 224. find the integers
 math  the product of two even consecutive integers is 224. find the integers
 math  the product of two even consecutive integers is 224. find the integers
 math  The product of two consecutive odd integers is 35. Find the integers
 Math  The product of two consecutive even positive integers is 120. Find the ...
 Algebra II  The sum of the reciprocals of two consecutive positive integers is ...
 Maths  The product of two consecutive positive integers is added to the larger ...
More Related Questions