Question

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

Answer 1

Answer:

The two numbers are 100 and 10

Step-by-step explanation:

Let's call the two numbers x and y.

$x-y=90 \\\\x\div y=10$

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

$x=90+y$

Substitute:

$(90+y)\div y=10 \\\\90+y=10y \\\\90=9y \\\\y=10 \\\\x=100$

Hope this helps!

Answer 2

Answer:

x = 100

y = 10

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

x - y = 90  ----(1)

Condition 2:

$\frac{x}{y} = 10$   --------(2)

Taking eq (1)

x - y = 90

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

Putting ep (3) in (2)

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

=> 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