Question 52939
Let x represent one number; then x-7 is the number that is 7 less.  Because x-7 is less than x, it's the smaller number.  We have 4 times the smaller number (i.e., x-7) represented as 4(x-7); two time the larger number (i.e., x) is represented as 2x.  So now our equation is {{{4(x-7)+2x=62}}}.  Expanding the equation we get {{{4x-28+2x=62}}} which simplifies to {{{6x-28=62}}}.  Now just solve for x by adding 28 to both sides {{{6x=90}}} and then dividing both sides by 6 to get {{{x=15}}}.  That means 15 is the larger of the two numbers, and the smaller number, represented by x-7, or 15-7, is 8.  Therefore, the two numbers are 15 and 8.  To check this, 4 times the smaller number (4*8=32) added to 2 times the larger (2*15=30) is 62 (32+30), and 8 is 7 less than 15.  Therefore, 15 and 8 are correct!