Question

. Find two consecutive positive odd integers whose product is 483​

Answer 1

Answer:

ANS is 21 and 23 .

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Step-by-step explanation:

Answer 2

$\bf{\underline{Given}}:-$

• Product of two consecutive positive odd integers is 483.

To find :-

• Two consecutive positive odd integers = ?

Solution :-

Let the first consecutive positive odd integer be x

and second consecutive positive odd integer be (x + 2)

According to the question,

x(x + 2) = 483

⤇ x² + 2x = 483

⤇ x² + 2x - 483 = 0

⤇ x² + 23x - 21x - 483 = 0

⤇ x(x + 23) - 21(x + 23) = 0

⤇ (x + 23) (x - 21) = 0

Now,

x + 23 = 0

⤇ x = 0 - 23

⤇ x = -23

Then,

x - 21 = 0

⤇ x = 0 + 21

⤇ x = 21

∴ x = -23 not possible so, here x will be 21

and,

• (x + 2)

⤇ 21 + 2

⤇ 23

Hence,the two consecutive positive odd integers wil be 21 and 23.