Question

The difference of two numbers is 90 and their quotient is 10

Answer 1

Answer:

Difference of two numbers =90=a

Quotient of two numbers =10=b

According to the given problem,

a/b=10

a=10b

a-b=90

10b-b=90

9b=90

b=10

a-b=90

a=100

Therefore,The two numbers are 100 and 10

Answer 2

Given,

The difference between two numbers is 90 and their quotient is 10.

To Find,

The numbers =?

Solution,

We can solve the question as follows:

It is given that the difference between two numbers is 90 and their quotient is 10. We have to find the two numbers.

Let the larger number be x and the smaller one be y. The difference between x and y is equal to 90. Therefore,

$x - y = 90$      ------------- (1)

When x is divided by y, the quotient is 10. Therefore,

$\frac{x}{y} = 10$           -------------- (2)

Now, we will solve equations (1) and (2) to find the values of x and y.

From equation (2),

$x = 10y$

Substituting x = 10y in equation (1),

$10y - y = 90$

$9y = 90$

$y = \frac{90}{9} = 10$

And,

$x = 10y = 10*10 = 100$

Hence, the numbers are 10 and 100.