Question

the sum of two numbers is 25 and their quotient is 4 what are the two numbers?

Answer 1

Given:

x+y=25,x/y=4

Solution:

We have,

x+y=25

x=25-y

Put this value in 2nd equation,

25-y/y=4

25-y=4y

25=4y+y

25=5y

y=25/5

y=5

Now x+y=25

x+5=25

x=25-5

x=20

Therefore,

x=20,y=5

Answer 2

Given:

x + y = 25

x/y = 4

To Find:

What are the two numbers?

Solution:

We have,

x + y = 25    

x = 25 - y      

Put this value in 2nd equation,

25 - y/y = 4

25 - y = 4y

25 = 4y + y

25 = 5y

y = 25/5

y = 5

Now,

x + y = 25

x + 5 = 25

x = 25 - 5

x = 20

Hence, the two numbers are 20 and 5.