Question

Date
Page
Find 3 consicutive odd numbers whose sum is 147
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Answer 1

Answer:

The required 3 consecutive odd numbers are 47, 49, 51.

Step-by-step-explanation:

Let the first odd number be ( x - 2 ).

The second consecutive odd number = ( x - 2 + 2 )

The third consecutive odd number = ( x - 2 + 2 + 2 )

From the given condition,

The sum of 3 consecutive odd numbers is 147.

( x - 2 ) + ( x - 2 + 2 ) + ( x - 2 + 2 + 2 ) = 147

⇒ x - 2 + x + x + 2 = 147

⇒ x + 2x - 2 + 2 = 147

⇒ 3x + 0 = 147

⇒ 3x = 147

⇒ x = 147 ÷ 3

⇒ x = 49

∴ The second odd number = 49

Now,

The first odd number = ( x - 2 ) = ( 49 - 2 ) = 47

And,

The third odd number = ( x + 2 ) = ( 49 + 2 ) = 51

∴ The required 3 consecutive odd numbers are 47, 49, 51.