The LCM of two numbers is 315. If the numbers are in the ratio 7 : 9, then the sum of the numbers is _____.
Given:
LCM of two numbers = 315
Ratio of numbers = 7 : 9
Formula Used:
LCM = (a × b) / GCD(a, b)
Solution:
LCM of numbers in ratio form:
If numbers are 7k and 9k, then
HCF(7, 9) = 1
LCM = (7k × 9k)/1 = 63k
Given 63k = 315 => k = 5
Numbers = 7k = 35 and 9k = 45
Sum = 35 + 45 = 80
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishFind the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
The LCM of the numbers 3.7 and 0.068 is:
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The sum of two numbers is 1580 and their LCM is 18816. Find the two numbers.
Reduce to lowest form using HCF
Find the HCF of 3/4, 5/6, 7/8.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The HCF and the LCM of two numbers are 4 and 2600, respectively. If one of the numbers is 104, find the other one.
Suggested Test Series
Suggested Test Series
