Question

The product of two consecutive even integers is 3480. Find the larger integer. ​

Answer 1

Answer:

Let us take the first number as x and the second number as x+2 now we get the equation as

x×(x+2)=675

x

2

+2x=675

Here to make both the sides a perfect square we add 1 to both the sides and get,

x

2

+2x+1=675+1

(x+1)

2

=676

x+1=

676

x+1=26

x=26−1

x=25

So the two consecutive numbers are

x=25 and

x+2=27

As the product of the two numbers is 675 both these numbers can either be positive or negative.

Ans: 25 and 27

or -25 and -27