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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 number are
  • a)
    (16,200)
  • b)
    (160,20)
  • c)
    (60,30)
  • d)
    (80,40)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The product of two numbers is 3200 and the quotient when the larger nu...
Solution:

Let the two numbers be x and y such that x > y. We are given that:

xy = 3200 and x/y = 2

Finding the Numbers:

We can use the second equation to express x in terms of y:

x/y = 2

x = 2y

Substituting this into the first equation, we get:

(2y)y = 3200

2y^2 = 3200

y^2 = 1600

y = ±40

Since x > y, we take y = 40 and x = 2y = 80.

Therefore, the two numbers are 80 and 40.

Verifying the Answer:

We can check that these numbers satisfy the given conditions:

xy = 80 × 40 = 3200

x/y = 80/40 = 2

Therefore, our answer is correct.

Conclusion:

The two numbers are 80 and 40, and the correct option is (D) (80, 40).
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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 number area)(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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