Question

The sum of 3 consecutive odd numbers is 87. Find the numbers. I need complete solution

Answer 1

Answer:

The three consecutive odd numbers can be written as x,x+2,x+4 . According to the given question, the sum of three consecutive odd numbers is 87 . The value of x is 27 . Hence, three consecutive odd numbers whose sum is 87 are 27,29 and 31 .

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Answer 2

Answer

$\red\bigstar$ The three consecutive odd numbers are 27,29 and 31.

SOLUTION

Let us assume that the first odd number is 'x'.

∵ We know that, every odd number is greater by two on comparison with the odd number before it .

The three numbers are → x , x+2 , x+4

∵ It is said that he sum of 3 consecutive odd numbers is 87.

$\implies$ x + x+2 + x+4 = 87

$\implies$ 3x + 6 = 87

$\implies$ 3x = 87 - 6

$\implies$ 3x = 81

$\implies \sf x = \dfrac{81}{3}$

$\implies \sf x = 27.$

∵ x = 27 , The consecutive odd numbers are 27 , 27 +2 , 27 + 2 × 2

$\implies$ The consecutive odd numbers are 27,29,31.