Question

(i) The product of two consecutive positive integers is 306. We need to find the
integers.​

Answer 1

Answer:

let the consecutive integers be x, x+1.

=》x+x+1=306.

=》2x+1=306

=》2x=305

=》x=305÷2 =152.5.

=》x=152.5, x+1=153.5

Answer 2

Answer:

The product of two consecutive positive integers is 306.

We need to find the integers

Solution : Let two consecutive numbers are x and (x + 1)

A/C to question,

product of x and (x + 1) = 306

⇒x(x + 1) = 306

⇒x² + x - 306 = 0

⇒ x² + 18x - 17x - 306 = 0

⇒x(x + 18) - 17(x + 18) = 0

⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

so x = 17 and (x +1) = 18

Therefore the numbers are 17 and 18.

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