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
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