Question

Find three consecutive odds number whose sum is 165

Answer 1

Answer:

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Answer 2

Answer:

53 , 55 and 57.

Step-by-step explanation:

Let those three numbers be 2a - 1 , 2a + 1 and 2a + 3. { these number will always be odd in all natural situations}

According to the question:

⇒ Sum of all numbers = 165

⇒ ( 2a - 1 ) + ( 2a + 1 ) + ( 2a + 3 ) = 165

⇒ 2a - 1 + 2a + 1 + 2a + 3 = 165

⇒ 2a + 2a + 2a + 3 = 165

⇒ 6a + 3 = 165

⇒ 6a = 165 - 3

⇒ 6a = 162

⇒ a = 162 / 6

⇒ a = 27

       Hence those numbers are :

           2a - 1 = 2( 27 ) - 1 = 54 - 1 = 53

           2a + 1 = 55

           2a + 3 = 57