Question

The difference of 2 numbers is 90 and their quotient is 10 replay quick

Answer 1

The two numbers are 100 and 10

Explanation:

Let's call the two numbers x and y.

`x-y=90 \\\\x/ y=10`

Add 7 to both sides of the first equation to isolate x:

`x=90+y`

Substitute:

`(90+y)/ y=10 \\\\90+y=10y \\\\90=9y \\\\y=10 \\\\x=100`

Hope this helps!

Answer 2

x = 100

y = 10

Explanation:

Let the two numbers be x and y

Condition 1:

x - y = 90 ----(1)

Condition 2:

`(x)/(y) = 10` --------(2)

Taking eq (1)

x - y = 90

x = 90+y -----(3)

Putting ep (3) in (2)

`(90+y)/(y) = 10`

=> 90+y = 10y

=> 90 = 10y-y

=> 90 = 9y

Dividing both sides by 9

=> y = 10

Putting y = 10 in eq (1)

=> x-10 = 90

=> x = 90+10

=> x = 100