Q4 of 80 Page 42

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

The difference between two consecutive odd numbers = 2.

Let one of the two consecutive odd numbers be x.


∴ The other odd number = x + 2.


The sum of the two numbers = 56.


According to the given condition,


x + (x + 2) = 56


⇒ x + x + 2 = 56


2x + 2 = 56


2x = 56 – 2 (Transposing 2 to RHS)


2x = 54


⇒ x = (Transposing 2 to RHS)


x = 27


The first odd number = x = 27


The other odd number = x + 2 = 27 + 2 = 29


∴ The two consecutive odd numbers whose sum is 56 are 27 and 29.


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