the quotient of two numbers is 21. their difference is 60. what are the two numbers

Question

trying to help my daughter with her 5th grade math believe it or not

Answer 1

a/b=21, or a=21b

a-b=60

21b-b=60

20b=60

b=3

a=21b=63

Answer 2

The quotient is the result when you divide two numbers,

i.e. When 6÷3=2 , in this case 2 is the quotient.

 

The difference is when one number is subtracted from another,

i.e. When 6-1=5 , in this case 5 is the difference.

 

So let's call the two numbers you want to find 'x' and 'y'

 

So,    x/y = 21              and                    x - y = 60

 

Now we can rearrange these equations to find the values of x and y.

 

x/y = 21               You can multiply both sides of the equation by 'y'.

x = 21y

 

Now you can substitute this into the other equation:

 

x - y = 60

21y - y = 60

20y = 60                  Now you can divide both sides of the equation by 20 to find 'y'.

 

y = 60/20

y = 3

 

Now we can put this value into one of the equations to find x.

 

x - y = 60

x - 3 = 60

x = 60 + 3

x = 63                                                                      

 

   Hope this helps.

 

 

Answer 3

21 7