Asked by Ansh
The quotint of two numbers is 2 . The product is 8 . What are the two numbers.
Answers
Answered by
Bosnian
A = larger number
B = smaller number
The quotient of two numbers is 2 mean:
A / B = 2
The product is 8 mean:
A ∙ B = 8
First equation is:
A / B = 2
From this equation:
A = 2 B
Replace this value in second equation.
A ∙ B = 8
2 B ∙ B = 8
2 B² = 8
Divide both sides by 2
B² = 4
B = √ 4
B = 2
A = 2 B
A = 2 ∙ 2
A = 4
Larger number = 4
Smaller number = 2
Proof:
A / B = 4 / 2 = 2
A ∙ B = 4 ∙ 2 = 8
B = smaller number
The quotient of two numbers is 2 mean:
A / B = 2
The product is 8 mean:
A ∙ B = 8
First equation is:
A / B = 2
From this equation:
A = 2 B
Replace this value in second equation.
A ∙ B = 8
2 B ∙ B = 8
2 B² = 8
Divide both sides by 2
B² = 4
B = √ 4
B = 2
A = 2 B
A = 2 ∙ 2
A = 4
Larger number = 4
Smaller number = 2
Proof:
A / B = 4 / 2 = 2
A ∙ B = 4 ∙ 2 = 8
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