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HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other?
Most Upvoted Answer
HCF and LCM of two numbers is 9 and 459 respectively.If one of tge num...
Let the 2nd no. be x
we know that product of two no.=LCM*HCF
x*27=9*459
=> x= 9*459/27
=>x=459/3
=>x=153
hence the second no. =153 ...
we know that product of two no.=LCM*HCF
x*27=9*459
=> x= 9*459/27
=>x=459/3
=>x=153
hence the second no. =153 ...
Community Answer
HCF and LCM of two numbers is 9 and 459 respectively.If one of tge num...
Given Information:
- HCF (Highest Common Factor) of two numbers is 9.
- LCM (Least Common Multiple) of two numbers is 459.
- One of the numbers is 27.
Objective:
To find the other number.
Approach:
We can use the relationship between HCF and LCM to find the other number. The relationship is given by the formula:
HCF × LCM = Product of the two numbers
Solution:
Let's solve the problem step by step:
Step 1: Write down the given information:
- HCF = 9
- LCM = 459
- One of the numbers = 27
Step 2: Use the relationship between HCF and LCM to find the product of the two numbers:
Product of the two numbers = HCF × LCM = 9 × 459 = 4131
Step 3: Find the other number:
Let the other number be x.
Product of the two numbers = 27 × x = 4131
To find x, divide both sides of the equation by 27:
x = 4131 ÷ 27 = 153
Step 4: Verify the solution:
Now we have the two numbers: 27 and 153.
HCF of 27 and 153 is 9. (27 ÷ 9 = 3, 153 ÷ 9 = 17)
LCM of 27 and 153 is 459. (27 × 17 = 459)
Conclusion:
The other number is 153.
- HCF (Highest Common Factor) of two numbers is 9.
- LCM (Least Common Multiple) of two numbers is 459.
- One of the numbers is 27.
Objective:
To find the other number.
Approach:
We can use the relationship between HCF and LCM to find the other number. The relationship is given by the formula:
HCF × LCM = Product of the two numbers
Solution:
Let's solve the problem step by step:
Step 1: Write down the given information:
- HCF = 9
- LCM = 459
- One of the numbers = 27
Step 2: Use the relationship between HCF and LCM to find the product of the two numbers:
Product of the two numbers = HCF × LCM = 9 × 459 = 4131
Step 3: Find the other number:
Let the other number be x.
Product of the two numbers = 27 × x = 4131
To find x, divide both sides of the equation by 27:
x = 4131 ÷ 27 = 153
Step 4: Verify the solution:
Now we have the two numbers: 27 and 153.
HCF of 27 and 153 is 9. (27 ÷ 9 = 3, 153 ÷ 9 = 17)
LCM of 27 and 153 is 459. (27 × 17 = 459)
Conclusion:
The other number is 153.
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HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other?
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HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other?.
HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF and LCM of two numbers is 9 and 459 respectively.If one of tge number is 27 ,then find the other?.
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