SOLUTION: If One number is 7 less than anoher. If 4 times the smaller number plus 2 times the larger number is 62, find the 2 numbers. will it be 8,15 did I do this right?

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Question 69108: If One number is 7 less than anoher. If 4 times the smaller number plus 2 times the larger number is 62, find the 2 numbers. will it be 8,15 did I do this right?
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


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.