First Number = 30.07
Second Number = 66.14
Step-by-step explanation:
Let First number = x
and Second Number y = 2x+6 (Translated using One positive number is 6 more than twice another)
The product of two numbers = 1989
So, x*y=1989
Putting value of y:
x*(2x+6)=1989
2x^2+6x=1989
2x^2+6x-1989=0
Solving this quadratic equation using quadratic formula:
where a=2, b=6 and c=-1989
Putting values:
So, values of x are x=30.07 and x= -33.07
Since Numbers should be positive so considering x=30.07
First Number x = 30.07
Second Number = 2x+6 = 2(30.07)+6 = 60+6 = 66.14
So, First Number = 30.07
Second Number = 66.14
Keywords: Solving Word Problems
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