The least number is 18, the middle number is 21 and the largest number is 36.
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the least number, y represent the middle number and z represent the greatest number.
The greatest number is twice as large as the least number. Hence:
z = 2x
2x - z = 0 (1)
The middle number is three more than the least number, hence:
y = x + 3
x - y = -3 (2)
The sum of the three is 75, hence:
x + y + z = 75 (3)
From the three equations:
x = 18, y = 21, z = 36
The least number is 18, the middle number is 21 and the largest number is 36.
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