Question

The sum of three consecutive odd numbers is 213. Find the numbers.

Answer 1

Answer:

Hey Mate,

Given Question,

The sum of three consecutive odd numbers is 213. Find the numbers.

Now,

We know that consecutive odd numbers have a difference of 2, like in, 3, 5, 7 and 9.

So, we can infer that all consecutive odd numbers have a difference of 2.

Then,

If we take one number to be "x". Then,

The other two numbers will be "x + 2" and "x + 4".

So,

=> ( x ) + ( x + 2 ) + ( x + 4 ) = 213

=> x + x + 2 + x + 4 = 213

=> 3x + 6 = 213

On transposing 6 from LHS to RHS, we get :-

=> 3x = 213 - 6

=> 3x = 207

On transposing 3 from LHS to RHS, we get :-

=> x = 207 / 3

=> x = 69

Now, we have got one number to be 69.

So, the other numbers will be :-

( 69 + 2 ) = 71 and ( 69 + 4 ) = 73

Therefore, the numbers are 69, 71 and 73 when the sum of three consecutive odd numbers is 213.

Hope My Answer Brings A Smile On Your Face !

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