Two numbers are in ratio 4 : 5 and their LCM is 180. The smaller number is
A. 9
B. 15
C. 36
D. 45
Answer: Option C
Solution(By Examveda Team)
Let two numbers be 4x and 5x Their LCM = 180 and HCF = xNow, 1st number × 2nd number = LCM × HCF Or, 4x × 5x = 180 × x Or, 20x = 180 Or, x = 9 Then, the smaller number = 4 × 9 = 36
4x45=180 and 5x36=180
here 36 is the smaller number when compring the LCM of both
180...
Smaller no is 36 and larger no is 5*9=45
lcm of those is 360 not 180 . Can someone explain me ?