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

User Gunn
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1 Answer

2 votes

Answer:

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

User Akrun
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