# SOLUTION: The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. I tried using substitution from the two equations given, which I

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 Question 196978: The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. I tried using substitution from the two equations given, which I think are : (x + y) / 2 = 7 and 3x = 1/2y But I didn't have any luckFound 3 solutions by vleith, stanbon, jim_thompson5910:Answer by vleith(2825)   (Show Source): You can put this solution on YOUR website!You have the basic equations correct So } And Check for answers. Is the average of 2 and 12 = 7? Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. I tried using substitution from the two equations given, which I think are : (x + y) / 2 = 7 and 3x = 1/2y ----------------------- Those are good equations. --- Rearrange to get: x + y = 14 y = 6x ------------- Substitute to solve for "x": x + 6x = 14 x = 2 (one of the numbers) y = 12 (the other number) ================================ Cheers, Stan H. Answer by jim_thompson5910(28715)   (Show Source): You can put this solution on YOUR website! Start with the second equation. Multiply both sides by 2. Multiply Rearrange the equation ------------------------------------------------ Move onto the first equation Plug in Add Multiply both sides by 2. Multiply Divide both sides by to isolate . Reduce. So one of the numbers is 2 Go back to the second equation Plug in Multiply So the other number is 12