The LCM of two numbers is 84. The numbers are in the ratio 4 : 3. Find the sum of the numbers.
Given
LCM of two numbers = 84
Ratio of the numbers = 4 : 3
Formula Used
LCM = Common Ratio Multiple \times Product of coprime parts
Solution
Let the common multiple be x.
The two numbers can be written as 4x and 3x.
The LCM of 4x and 3x is 12x.
First number =
Second number =
Sum = 28 + 21 = 49
Final Answer
So the correct answer is (d)
English
100 Questions
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishFind the HCF of the numbers 2520, 3600, 5880.
The LCM of two numbers is 84. The numbers are in the ratio 4 : 3. Find the sum of the numbers.
If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.
Find the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
Find the HCF of 2.8, 11.2 and 0.84 .
Suggested Test Series
Suggested Test Series
Find the HCF of the numbers 2520, 3600, 5880.
The LCM of two numbers is 84. The numbers are in the ratio 4 : 3. Find the sum of the numbers.
If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.
Find the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
Find the HCF of 2.8, 11.2 and 0.84 .
