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Mathematics

The sum of three consecutive odd numbers is 57. Find the numbers.

Linear Eqns One Variable

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Answer

Let the three consecutive odd numbers be (x - 2), x, (x + 2).

So,

(x - 2) + x + (x + 2) = 57

⇒ x - 2 + x + x + 2 = 57

⇒ 3x = 57

⇒ x = 573\dfrac{57}{3}

⇒ x = 19

Other numbers = (x - 2), (x + 2)

= (19 - 2), (19 + 2)

= 17, 21

Hence, the three numbers are 17, 19 and 21.

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