A positive rational number is 5 time another number. If 21 is added to both the number . then one of the new number becomes twice the other new number . what are the number.
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A positive rational number is 5 time another number. If 21 is added to both the number . then one of the new number becomes twice the other new number . what are the number.
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Answer:
The required numbers are 7 and 35.
Step-by-step explanation:
Given :
To find :
the numbers
Solution :
Let the "another number" be x .
Then, the positive number = 5x
Adding 21 to both the numbers,
positive number becomes = (5x + 21)
other number becomes = (x + 21)
According to the given condition,
5x + 21 = 2(x + 21)
5x + 21 = 2x + 42
5x - 2x = 42 - 21
3x = 21
x = 21/3
x = 7
∴ The other number = 7
The positive number = 5(7) = 35
Therefore, the required numbers are 7 and 35.