Question

The sum of three consecutive odd numbers is 57. Find the numbers.​

Answer 1

Given :-

• The sum of three consecutive odd numbers is 57.

To find :-

• What are the numbers.

Solution :-

Given :

• The sum of three Consecutive odd numbers = 57

Let,

• The numbers = x, x+2 and x+4

According to the question by substituting these values we get,

$\implies \: \sf \: x \: + \: x + 2 \: + \: x + 4 \: = \: 57$

$\implies \: \sf \: 3x + 6 \: = \: 57$

$\implies \: \sf \:3x \: = \: 57 - 6$

$\implies \: \sf \:3x \: = \: 51$

$\displaystyle \implies \: \sf \:x \: = \: \cancel\frac{51}{3}$

$\displaystyle \implies \red{ \: \bf \:x \: = \: 17}$

Now

• First number = x = 17
• Second number = x+2 = 17+2 = 19
• Third number = x+4 = 17+4 = 21

∴ Hence, The sum of three Consecutive odd numbers is 17, 19 and 21 .

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