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Maths Mixed Test - Class 10
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The product of two consecutive odd positive integers is 483. The integers are
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A
21 and 23
💡 Explanation:
Let the two consecutive odd positive integers be x and x + 2.
x(x + 2) = 483 $\Rightarrow$ x2 + 2x - 483 = 0
x2 + 23 x - 21 x - 483 = 0 $\Rightarrow$ x (x + 23) - 21 (x + 23) = 0
(x + 23) (x - 21) = 0
x = -23 , x - 21 => x = 21.
Since integers are positive, -23 can't be the answer.
So, the two integers are 21 and 23.