The HCF and LCM of two numbers are 45 and 270 respectively. If the ratio of the two numbers is 2:3 and smaller of the two numbers is X, then find $$X^2$$
Let two numbers are 2x and 3x
$$2x\times3x=LCM\times{HCF}$$
$$2x\times3x=270\times45$$
$$6x^2=270\times45$$
$$x^2=2025$$
$$x=45$$
Smaller no.X( 2x)=90
$$X^2=8100$$
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