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:

(x-15)(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~ :)

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