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Examveda

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 = 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

This Question Belongs to Arithmetic Ability >> Ratio

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Comments ( 3 )

  1. Siddarth Smith
    Siddarth Smith :
    4 years ago

    4x45=180 and 5x36=180
    here 36 is the smaller number when compring the LCM of both

  2. Nvjddurrg Jgyureey
    Nvjddurrg Jgyureey :
    6 years ago

    180...

  3. Belle S
    Belle S :
    6 years ago

    Smaller no is 36 and larger no is 5*9=45
    lcm of those is 360 not 180 . Can someone explain me ?

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