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Math Asked by a SnapAndSolve user · about 2 hours ago

The larger of two numbers is twice the smaller number. If 12 is subtracted from the larger number, the...

The larger of two numbers is twice the smaller number. If 12 is subtracted from the larger number, the result is 7 more than the smaller number. Find the numbers.

Answer

Let the smaller number be x and the larger number be y.

  1. According to the problem, the larger number is twice the smaller number: y = 2x.
  2. If 12 is subtracted from the larger number, the result is 7 more than the smaller number: y - 12 = x + 7.

Substitute y = 2x into the second equation:

2x - 12 = x + 7

Solve for x:

  1. Subtract x from both sides: x - 12 = 7
  2. Add 12 to both sides: x = 19

Now, find y using y = 2x:

y = 2(19) = 38

The numbers are 19 and 38.

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