two numbers are in the ratio 3:4. If their LCM is 180 find the numbers
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Step-by-step explanation:
Let the two numbers be x and y
Given,
x:y=3:4
Or, 4x=3y
Or,x=(3/4)y..........(1)
LCM of these two numbers=12xy
Also given that,
12xy=180
Or,xy=180/12
Or, xy=15
Or,(3/4)y*y=15
3y^2=60
Or, y^2=20
y=√20
Now x=(3/4)y=(3/4)*√20
=3√5/2
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