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# Example Solving Word Problems: Numbers word problems

## See Other Number Word Problem Examples solved by the Algebra Word Problem Solver.

###### What You Enter

### Two times the sum of two numbers is 30. The difference of the two numbers is 7. What are the numbers?

###### What You Get

Let L = Larger Number Let S = Smaller Number 2(L+S) = 30 TWO TIMES THE SUM OF TWO NUMBERS IS 30 L - S = 7 THE DIFFERENCE OF THE TWO NUMBERS IS7 L = S + 7 2(S+7+S) = 30 4S + 14 = 30 S = 4

Solution: S=4