Two natural numbers are 25 and 16 whose product is 400 and the difference between the two numbers is 9.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
Given that:-
- The product of two natural numbers is 400. If the difference between the two numbers is 9, The numbers are:-
Let the two numbers be P and q Now from the given data we will form our expression.
P x q = 400
P + q = 9
P + 400 / p = 9
P ² + 400 = 9p
p² - 9p + 400 = 0
By using the formula to solve quadratic equations we will calculate the value of p.
[tex]P = \dfrac{ -9 + \sqrt{9^2-(4\times 1\times 400}}{2}[/tex]
[tex]P = \dfrac{-9+\sqrt{1681}}{2}[/tex]
[tex]p = \dfrac{-9+41}{2}[/tex]
p = 16
Put the value of p in equation 1
12 x q = 400
q = 400 / 12
q = 25
Therefore natural numbers are 25 and 16 whose product is 400 and the difference between the two numbers is 9.
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