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A positive number is 4 times another number. If 16 is added to both the numbers, then one of the new numbers becomes thrice the other new number.what are the numbers?
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A positive number is 4 times another number. If 16 is added to both th...
Given information:
- Let the smaller number be x
- The positive number is 4 times another number, so the larger number is 4x
- When 16 is added to both numbers, one becomes thrice the other

Equations:
- x + 16 = 3(4x + 16)

Solving the equation:
- x + 16 = 12x + 48
- 16 - 48 = 12x - x
- -32 = 11x
- x = -32/11
- x = -2.909 (smaller number)
- 4x = 4(-2.909) = -11.636 (larger number)

Therefore, the two numbers are:
- Smaller number: -2.909
- Larger number: -11.636

Explanation:
- The two numbers are -2.909 and -11.636
- When 16 is added to both numbers, the new numbers are 13.091 and 4.364
- 13.091 is thrice 4.364, confirming the solution
This solution satisfies all the conditions given in the question.
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A positive number is 4 times another number. If 16 is added to both the numbers, then one of the new numbers becomes thrice the other new number.what are the numbers?
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