SOLUTION: The sum of two numbers is twice their difference. The larger number is 7 more than twice the smaller. Find the numbers.

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Question 357498: The sum of two numbers is twice their difference. The larger number is 7 more than twice the smaller. Find the numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x be the smaller number. Then (2x+7) would be the larger number.

Write as we read

x + (2x+7) = 2[( 2x+7) - x]

simplify and Solve

3x + 7= 2[x + 7]

3x + 7 = 2x + 14

x = 7

(2x+7)= 21

7 and 21 are the numbers

checking the answer

28 = 2*14