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.

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(75887) (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)
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Cheers,
Stan H.
Answer by josmiceli(19441) (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
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