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

Question

asked Jan 9, 2020 216k views

1 Answer

Akrun · Answer 1 · 2020-01-12T14:14:42+0000

The first consecutive odd number is: 9

and the second consecutive odd number is: 11

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