Question

the product of two number is 3200 and the quotient when the larger number is divided by the smaller is 2.the number are

Answer 1

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

Answer 2

The largest number is 80 and the smallest number is 40.

Given:

The product of the two numbers is 3200 and the quotient when the larger number is divided by the smaller is 2.

To Find:

The larger and smaller number.

Solution:

Let A be the largest number and B be the smallest number.

The product of A*B = 3200--------------(1)  (given)

Also,

A/B = 2

⇒ A = 2*B

Substituting A value in equation (1)

2*B*B=3200

2*B² = 3200

B² = 3200/2

B² = 1600

B=√1600

B = 40

∴ A= 2*B=2*40=80

∴ The largest number is 80 and the smallest number is 40.

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