Question

the product of two numbers is 9735 and the quotient, when the larger number one is divided by the smaller, is 15 . What is the sum of the numbers​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :-

The product of two numbers is 9735 and the quotient, when the larger number one is divided by the smaller, is 15 .

To find:-

What is the sum of the numbers?

Solution:-

Let the required numbers be X and Y

X>Y

Let the larger number be X

Let the smaller number be Y

The product of the two numbers = X×Y = XY

According to the given problem

The product of the two numbers = 9375

=> XY = 9375 -------------(1)

And given that

The quotient, when the larger number one is divided by the smaller, is 15 .

=> X/Y = 15

=> X = 15×Y

=> X = 15Y ---------------(2)

On substituting the value of X in (1) then

=> (15Y)(Y) = 9375

=> 15Y² = 9375

=> Y² = 9375/15

=> Y² = 625

=> Y= ±√625

=> Y = ±25

On taking Positive value

Therefore , Y = 25

On substituting the value of Y in (2) then

=> X = 15(25)

=> X = 375

Therefore, X = 375 and Y = 25

Now, X+Y = 375+25 = 400

Answer:-

The sum of the two numbers is 400

Check:-

The two numbers = 375 and 25

375> 25

Their product =375×25 = 9375

and

375/25 = 15

Verified the given relations in the given problem