The difference between two numbers is 19. If the numbers are doubled, what is the difference between the numbers?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
The difference between the two numbers is 19.
Determine the difference between the two number if they are doubled.
Explanation:
The given statement can be represented as,
x - y =19
If the two numbers are doubled,
2x -2y =?
Since the two numbers have a difference of 19, doubling them means that the difference will also be doubled. To represent this, let us put a value on x and y.
x = 20
y = 1
20 - 1 = 19
2x = 40
2y = 2
40 - 2 = 38
= (19)(2) is indeed 38.
Another example:
x = 39
y = 20
39 - 20 = 19
2x = 78
2y = 40
78 - 40 = 38
Final answer:
The difference is 38