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The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.
- a)27
- b)33
- c)38
- d)45
- e)60
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Fi...
Let the numbers be 4x and 5x.
Then, their L.C.M. = 20x.
20x = 60 or x = 3.
The numbers are 12 and 15.
Hence, required sum = (12 + 15) = 27.
Then, their L.C.M. = 20x.
20x = 60 or x = 3.
The numbers are 12 and 15.
Hence, required sum = (12 + 15) = 27.
Most Upvoted Answer
The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Fi...
Given information:
L.C.M. of two numbers = 60
Ratio of the numbers = 4:5
Approach:
Let the two numbers be 4x and 5x, as they are in the ratio of 4:5
To find L.C.M. of two numbers, we need to find their H.C.F. first
The product of two numbers = L.C.M. × H.C.F.
Therefore, H.C.F. = (product of two numbers) ÷ L.C.M.
Product of two numbers = 4x × 5x = 20x²
H.C.F. = (20x²) ÷ 60 = (x²) ÷ 3
Now, find the numbers using the given ratio:
4x/5x = 4/5
Therefore, the two numbers are 4x and 5x
To find the sum of numbers:
Sum of two numbers = 4x + 5x = 9x
Calculation:
H.C.F. = (x²) ÷ 3
L.C.M. × H.C.F. = product of two numbers
60 × [(x²) ÷ 3] = 20x²
x = 3
Therefore, the two numbers are 4x = 12 and 5x = 15
Sum of two numbers = 12 + 15 = 27
Hence, the correct answer is option A.
L.C.M. of two numbers = 60
Ratio of the numbers = 4:5
Approach:
Let the two numbers be 4x and 5x, as they are in the ratio of 4:5
To find L.C.M. of two numbers, we need to find their H.C.F. first
The product of two numbers = L.C.M. × H.C.F.
Therefore, H.C.F. = (product of two numbers) ÷ L.C.M.
Product of two numbers = 4x × 5x = 20x²
H.C.F. = (20x²) ÷ 60 = (x²) ÷ 3
Now, find the numbers using the given ratio:
4x/5x = 4/5
Therefore, the two numbers are 4x and 5x
To find the sum of numbers:
Sum of two numbers = 4x + 5x = 9x
Calculation:
H.C.F. = (x²) ÷ 3
L.C.M. × H.C.F. = product of two numbers
60 × [(x²) ÷ 3] = 20x²
x = 3
Therefore, the two numbers are 4x = 12 and 5x = 15
Sum of two numbers = 12 + 15 = 27
Hence, the correct answer is option A.
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The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer?.
The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The L.C.M. of two number is 60. The numbers are in the ratio 4 : 5. Find the sum of numbers.a)27b)33c)38d)45e)60Correct answer is option 'A'. Can you explain this answer?.
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