two numbers are in the ratio 3:4.If their LCM is 180, find the numbers.
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let the ratio be x. so,numbers be 3x and 4x.
HCF(3x,4x)= x
. [3x=3*x
. 4x=4*x]
and,LCM(3x,4x)=HCF*3*4
. 180=x*3*4 . [given]
. 180=12x
. 180/12=x
. x=15
so, the numbers are 3x=3*15=45. and,
4x=4*15=60
hope it help.
HCF(3x,4x)= x
. [3x=3*x
. 4x=4*x]
and,LCM(3x,4x)=HCF*3*4
. 180=x*3*4 . [given]
. 180=12x
. 180/12=x
. x=15
so, the numbers are 3x=3*15=45. and,
4x=4*15=60
hope it help.
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