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The product of two numbers is 3200 and the quotient when the larger number is divided by the smaller is 2.The numbers are
- a)(16,200)
- b)(160,20)
- c)(60,30)
- d)(80,40)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The product of two numbers is 3200 and the quotient when the larger nu...
Let two no is x and y X›y
X*y=3200
x/y=2
x=2y
2y*y=3200
2y^2=3200
y^2=1600
y=✓1600
y=40
then x=2*40
x=80
Most Upvoted Answer
The product of two numbers is 3200 and the quotient when the larger nu...
Given:
Product of two numbers = 3200
Quotient when larger number is divided by smaller = 2
To find:
The two numbers
Solution:
Let the two numbers be x and y, where x is the larger number.
From the given information, we have:
x.y = 3200
x/y = 2
We can use the second equation to express one variable in terms of the other:
x = 2y
Substituting this into the first equation, we get:
2y.y = 3200
2y^2 = 3200
y^2 = 1600
y = ±40
Since y is the smaller number, we take the negative value:
y = -40
Substituting this into x = 2y, we get:
x = 2(-40) = -80
Therefore, the two numbers are -80 and -40.
However, the question asks for the two numbers, not the values of x and y. We can write the answer in two ways:
Option D: (80, 40)
or
Option D: (-80, -40)
Either answer is correct, since the product and quotient of the two numbers are the same in both cases. However, it is more common to express the answer as positive numbers, so we choose (80, 40) as the final answer.
Therefore, option D is the correct answer.
Product of two numbers = 3200
Quotient when larger number is divided by smaller = 2
To find:
The two numbers
Solution:
Let the two numbers be x and y, where x is the larger number.
From the given information, we have:
x.y = 3200
x/y = 2
We can use the second equation to express one variable in terms of the other:
x = 2y
Substituting this into the first equation, we get:
2y.y = 3200
2y^2 = 3200
y^2 = 1600
y = ±40
Since y is the smaller number, we take the negative value:
y = -40
Substituting this into x = 2y, we get:
x = 2(-40) = -80
Therefore, the two numbers are -80 and -40.
However, the question asks for the two numbers, not the values of x and y. We can write the answer in two ways:
Option D: (80, 40)
or
Option D: (-80, -40)
Either answer is correct, since the product and quotient of the two numbers are the same in both cases. However, it is more common to express the answer as positive numbers, so we choose (80, 40) as the final answer.
Therefore, option D is the correct answer.
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