Question 69108
<pre>
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.