Question

find the three consecutive odd number whose sum is 165​

Answer 1

Step-by-step explanation:

let the numbers be x, x+2,x+4

x+x+2+x+4=165

3x+6=165

3x=165-6

x=159/3

x=53

Numbers are

53

53+2=55

53+4=57

53,55,57 are the right answers

Hope it helps ✌✌

Answer 2

$\boxed{\bold{\underline{{\underline{\large\textsc{{SOLUTION}}}}}}}}$.

We have to find three consecutive odd numbers.

Let the x represent the least of the odd numbers.

Then the next two 'x+2' and 'x+4'. That their sum is 165

gives us.

According to the question,

$x+(x+2)+(x+4)=165\\\\\implies(x+x+x)+(2+4)=165\\\\\implies3x+6=165\\\\\implies3x=165-6\\\\\implies3x=159\\\\\implies x=\dfrac{159}{3}\\\\\implies x=53\\\\First\:number=53\\\\Second\:number=(x+2)=53+2=55\\\\Third\:number=(x+4)=53+4=57\\\\Checking,\:we\:find\:that\\\\53+55+57=165\:as\:desired.$

The three consecutive odd number whose sum is 165 are 53, 55, and 57