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Mathematics

The sum of two consecutive odd numbers is 56. Find the numbers.

Linear Eqns One Variable

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Answer

Let the two consecutive odd numbers be x and x + 2.

The sum of two consecutive odd numbers is 56:

∴ x + (x + 2) = 56

⇒ 2x + 2 = 56

⇒ 2x = 56 - 2 \quad [Transposing +2 to RHS]

⇒ 2x = 54

⇒ x = 542\dfrac{54}{2}

⇒ x = 27

The numbers are 27 and 27 + 2 = 29.

Hence, the required numbers are 27 and 29.

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