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A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ?
Most Upvoted Answer
A positive number is 5 times another number. If 21 is added to both th...
**Problem Analysis:**
Let's assume that the first number is x and the second number is y.
According to the problem, we have the following information:
- The first number is 5 times the second number: x = 5y
- If 21 is added to both numbers, one of the new numbers becomes twice the other new number: (x + 21) = 2(y + 21)
**Solution:**
To find the values of x and y, we need to solve the above two equations simultaneously.
**Step 1: Substitute the value of x from the first equation into the second equation.**
(5y + 21) = 2(y + 21)
**Step 2: Expand the equation by removing the brackets.**
5y + 21 = 2y + 42
**Step 3: Simplify the equation by combining like terms.**
5y - 2y = 42 - 21
3y = 21
**Step 4: Divide both sides of the equation by 3 to solve for y.**
y = 7
**Step 5: Substitute the value of y into the first equation to find the value of x.**
x = 5(7)
x = 35
**Step 6: Check the solution by substituting the values of x and y into the second equation.**
(35 + 21) = 2(7 + 21)
56 = 2(28)
56 = 56
**Step 7: Conclusion**
The numbers are x = 35 and y = 7.
Let's assume that the first number is x and the second number is y.
According to the problem, we have the following information:
- The first number is 5 times the second number: x = 5y
- If 21 is added to both numbers, one of the new numbers becomes twice the other new number: (x + 21) = 2(y + 21)
**Solution:**
To find the values of x and y, we need to solve the above two equations simultaneously.
**Step 1: Substitute the value of x from the first equation into the second equation.**
(5y + 21) = 2(y + 21)
**Step 2: Expand the equation by removing the brackets.**
5y + 21 = 2y + 42
**Step 3: Simplify the equation by combining like terms.**
5y - 2y = 42 - 21
3y = 21
**Step 4: Divide both sides of the equation by 3 to solve for y.**
y = 7
**Step 5: Substitute the value of y into the first equation to find the value of x.**
x = 5(7)
x = 35
**Step 6: Check the solution by substituting the values of x and y into the second equation.**
(35 + 21) = 2(7 + 21)
56 = 2(28)
56 = 56
**Step 7: Conclusion**
The numbers are x = 35 and y = 7.
Community Answer
A positive number is 5 times another number. If 21 is added to both th...
Let the 1st number be x
The 2nd be 5x
Adding 21 to both the numbers
X+21. 5x+21
A/Q
5x+21=2(x+21)
5x +21=2x+42
5x-2x=42-21
3x=21
X=21/3
X=7
The 2nd be 5x
Adding 21 to both the numbers
X+21. 5x+21
A/Q
5x+21=2(x+21)
5x +21=2x+42
5x-2x=42-21
3x=21
X=21/3
X=7
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A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ?
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A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ?.
A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 5 times another number. If 21 is added to both the numbers , then one of new numbers becomes twice the other new number. What are the numbers ?.
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