What is asked in the problem?

find the two number



Given:

one number is 7 less than another.

4 times the smaller number plus 2 times the larger number is 62.



Representation:

Let    x = the larger number

   x - 7 = the smaller number



Write and Equation: Translate the sentence into mathematical equation.



4 times the smaller number plus 2 times the larger number is 62.

    4(x - 7) + 2(x) = 62

       4x - 28 + 2x = 62

                 6x = 90

                  x = 15  ----------->> Larger number



              x - 7 = the smaller number, x = 15

             15 - 7 = 8   ---------->> Smaller number



Checking :

 

       4(8) + 2(15) = 62

            32 + 30 = 62

                 62 = 62  -------->> True







Therefore, your answer is correct.



 

RELATED QUESTIONS

one number is 7 less than another. if 4 times the smaller number plus 2 times the larger... (answered by checkley77,nyc_function)

Hope you can help....

I"ve gone over this one a million times>>please help!

One... (answered by rchill)

 One number is 4 more than another number. Find the two numbers if two times the larger... (answered by algebrahouse.com)

I need to solve the following word problem, I have to show the equation I use for the... (answered by solver91311,josmiceli)

One number is 4 less than another number. Find the numbers if three times the smaller... (answered by stanbon)

One number is 8 less than another. If 5 times the smaller number minus 2 times the larger  (answered by fractalier)

One number is 8 less than another.  If 5 times the smaller number minus 2 times the... (answered by checkley75)

One number is 12 less than another.  If 10 times the smaller number minus 2 times the... (answered by jim_thompson5910)

One number is 3 less than another.  If 7 times the smaller number minus 3 times the... (answered by checkley75)