Answer:
The numbers are 6, 4.
Step-by-step explanation:
Let the two numbers be x and y.
Difference of squares of two numbers is 20
⇒ x² - y² = 20 -----------(I)
x² = 20 + y² ------------(II)
(square of first number) - (twice the square of second number) = 4
x² - 2y² = 4 ---------------(III)
We can use substitution method to find the value of x and y. Substitute x² = 20 + y² in equation (III)
20 + y² - 2y² = 4
20 - y² = 4
20 = 4 + y²
20 - 4 = y²
y² = 16
y = √16
[tex]\boxed{\bf y = 4}[/tex]
Substitute y = 4 in equation (II),
x² = 20 + 4²
= 20 + 16
x² = 36
x = √36
[tex]\boxed{\bf x = 6}[/tex]
