Question

Find the 3 consecutive odd numbers if the sum of the second and third
numbers are 180 .

Answer 1

Answer:

If the there are 3 consecutive odd numbers and the sum of second and third number is 180, then the three consecutive odd numbers are 87,89 and 91 respectively.

Step-by-step explanation:

Let the first number be 'x'

Then the second consecutive odd number is (x+2)

And the third consecutive odd number is (x+4)

Given the sum of second and third consecutive odd numbers are 180

That is , $(x+2)+(x+4) =180$

$2x+6=180\\2x=180-6\\2x=174\\x=\frac{174}{2} \\= 87$

Hence the first number x is 87

The second number is $(x+2)\\= 87+2\\=89$

The third number is $(x+4)\\=87+4\\=91$

Therefore the three consecutive odd numbers are : 87,89 and 91.