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1. Two numbers are in ratio 4 : 5 and their LCM is 180. The smaller number is
Their LCM = 180 and HCF = x
Now,
1st number × 2nd number = LCM × HCF
Or, 4x × 5x = 180 × x
Or, 20x = 180
Or, x = 9
Then, the smaller number = 4 × 9 = 36
Solution:
Let two numbers be 4x and 5xTheir LCM = 180 and HCF = x
Now,
1st number × 2nd number = LCM × HCF
Or, 4x × 5x = 180 × x
Or, 20x = 180
Or, x = 9
Then, the smaller number = 4 × 9 = 36