9 is to 3 as 49 is to_? (9:3::49:_?)
Please show and explain the answer
3 is the square root of 9
What is the square root of 49?
:-)
No, 7! is 5040
To solve this analogy, we need to identify the relationship between the numbers in the first pair (9:3) and apply the same relationship to the second pair (49:_).
In the given analogy, the number 9 is related to 3 in a specific way. If we divide 9 by 3, we get 3 as the result. Therefore, the relationship between 9 and 3 is that 9 is divisible by 3, and the quotient is 3.
Now, let's apply the same relationship to the second pair. So, if we divide 49 by something, and the result is what we are looking for, we should get the answer. Mathematically, this can be represented as:
49 ÷ ? = answer
Since the relationship mentioned in the previous step is divisibility, we can check which numbers divide evenly into 49.
The factors of 49 are 1, 7, and 49. Dividing 49 by these factors:
49 ÷ 1 = 49
49 ÷ 7 = 7
49 ÷ 49 = 1
As we can see, the only factor that divides 49 evenly without any remainder is 7. Therefore, the missing number in the analogy is 7.
Hence, the complete analogy is 9:3::49:7.