valeriacastro11 wrote:
Can someone explain me this step by step? i am not understanding the explanations
HI, I hope I can help you with my explanation.
123.45
1= Hundreds
2= tens
3= units
"."
4= tenths
5= hundredths
(1) The tens digit of n + 5 is 7.
When you add 5 to n, the tens digit is 7. So n could be 65, 66, 67, 68, 69, 70, 71, 72, 73, 74. If you add 5, the numbers are all between 70-79, hence the statement is fulfilled.
But => As you can see, some "n" have a 6 as a tens digit and some others have a 7 as a tens digit. Therefore insufficient.
(2) The tens digit of n - 6 is 5.
If you subtract 6 from n, the tens digit is 5. So n could be 56, 57, 58, 59, 60, 61, 62, 63, 64, 65. If you subtract 6, the numbers are all between 50-59, which means they have a 5 as the tens digit, hence the statement is fulfilled.
But => As you can see, some "n" have a 5 as the tens digit and some have a 6 as the tens digit. Therefore insufficient.
If you combine the information from both statements, you can see that only 6 as a tens digit suffices both statements.
I hope I was able to help you.