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

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

7 0

<h2>Answer:</h2>

The first consecutive odd number is: 9

and the second consecutive odd number is: 11

<h2>Step-by-step explanation:</h2>

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

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