Question

What is three consecutive odd numbers that adds up to 177

Answer 1

Answer:

Required three odd consecutive numbers are 57 , 59 and 61.

Step-by-step explanation:

Let the required three consecutive odd numbers are 2a + 1 , 2a + 3 and 2a + 5.

According to the question :

= > Sum of all the required odd numbers = 177

= > ( 2a + 1 ) + ( 2a + 3 ) + ( 2a + 5 ) = 177

= > 2a + 1 + 2a + 3 + 2a + 5 = 177

= > 2a + 2a + 2a + 1 + 3 + 5 = 177

= > 6a + 9 = 177

= > 6a = 177 - 9

= > 6a = 168

= > a = 168 / 6

= > a = 28

Therefore,required three consecutive odd numbers are :

2x + 1 = 2( 28 ) + 1 = 56 + 1 = 57

2x + 3 = 2( 28 ) + 3 = 56 + 3 = 59

2x + 5 = 2( 28 ) + 5 = 56 + 5 = 61

Answer 2

let 3 consecutive odd no's be x, x+2, x+4

x+ x+2 + x+4 = 177

3x + 6 = 177

3x = 171

x = 57

So no's are 57, 59,61