Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.
What are Natural numbers?
Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.
Let the first number(bigger number) be 'a', and the smaller number be b.
As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,
a = b + 4
Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,
[tex]ab = 3(b^2)\\[/tex]
As the value of a = b+4, substitute the value of a,
[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]
Thus, the value of b is 2.
In order to get 'a' add 4 to the value of b, therefore, the value of a is,
[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]
Hence, the two natural numbers are 4 and 6.
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