Question

two consecutive odd number are such that three times the first is 5 more than twice the second. What are those two odd numbers?

Answer 1

The first consecutive odd number is: 9

and the second consecutive odd number is: 11

Explanation:

Let the two consecutive odd numbers be: a and a+2

( Since, we know that the difference between two consecutive odd or two consecutive even numbers is always 2 )

Now, it is given that:

Three times the first is 5 more than twice the second.

i.e.

`3a=5+2(a+2)\\\\i.e.\\\\3a=5+2a+4\\\\3a=5+4+2a\\\\3a=2a+9\\\\3a-2a=9\\\\a=9`

Hence, we get:

The first consecutive odd number is: 9

and the second consecutive odd number is: 9+2=11