# SOLUTION: The smaller of two numbers is 3 less than twice the larger number. If the larger number is decreased by 10, the result is the same as the smaller number. Find the numbers.

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 Question 362574: The smaller of two numbers is 3 less than twice the larger number. If the larger number is decreased by 10, the result is the same as the smaller number. Find the numbers.Found 2 solutions by stanbon, josmiceli:Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!The smaller of two numbers is 3 less than twice the larger number. If the larger number is decreased by 10, the result is the same as the smaller number. Find the numbers. ----- larger: x smaller: 2x-3 ----- Equation: x-10 = 2x-3 x = -7 (larger) 2x-3 = -17 (smaller) ========================= Cheers, Stan H. Answer by josmiceli(9668)   (Show Source): You can put this solution on YOUR website!Call the smaller number Call the larger number given: Substitute in the 1st equation into the 2nd equation and, since The smaller number is The larger number is check: OK, and OK