Question

1. Which is the smallest positive number that must be added to 2,010 in order to a
obtain a perfect square?
2. Which letter in the English alphabet has four times as many letters after it than before it?​

Answer 1

Here’s a quick way to solve this yourself.

Let’s assume…

x is the number of letters before your mystery letter

y is the number of letters after your mystery letter

That means the total number of letters in the alphabet (including your 1 mystery letter) is x+y+1. So we know the following:

x+y+1=26

Since we also know that there are 4 times as many letters after your letter as before your letter, we also know that

4x=y

Now, we can just substitute “4x” in for “y” in that first equation, getting the following:

x+4x+1=26

→ 5x+1=26

→ 5x=25

→ x=5

So if x (the number of letters before your mystery letter) is 5, then your letter must be letter #6 - F!

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Answer 2

Answer:

Step-by-step explanation:

1. We have,

2010

So, 44<√2010

1936<√2010

45>√2010

2025>2010

Hence, it is clear the number is 15that should be added

2. The alphabet will be F. Because it have 5 letter before it and 20 letter after it......

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