# SOLUTION: Two times a first number decreased by a second number is 4. The first number increased by twice the second number is 37. Find the numbers

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 Click here to see ALL problems on Numbers Word Problems Question 387891: Two times a first number decreased by a second number is 4. The first number increased by twice the second number is 37. Find the numbersAnswer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!"Two times a first number decreased by a second number is 4" ___ 2f - s = 4 "The first number increased by twice the second number is 37" ___ f + 2s = 37 multiplying 1st eqn by 2 ___ 4f - 2s = 8 adding 2nd eqn (eliminating s)___ 5f = 45 ___ f = 9 substituting to find s ___ 2(9) - s = 4 ___ 14 = s