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Linear Equations in One Variable
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05/08/2021 12:10 pm
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A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
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05/08/2021 12:11 pm
Let one of the positive number be x then other number will be 5x.
According to the question,
5x + 21 = 2(x + 21)
⇒ 5x + 21 = 2x + 42
⇒ 5x – 2x = 42 – 21
⇒ 3x = 21
⇒ x = 7
One number = x = 7
Other number = 5x
= 5 × 7 = 35
The two numbers are 7 and 35.