The HCF of two numbers of same number of digits is 45 and their LCM is 540. The numbers are

270, 540

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135, 270

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180, 270

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135, 180

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Solution

The correct option is D 135, 180
LCM=540
HCF=45
Let number are 45x,45y
$\Rightarrow 45 x \times 45 y = 45 \times 540$
$\Rightarrow x y = \frac{45 \times 540}{45 \times 45} = 12$
If x=4,y=3 then numbers are $45 \times 4 = 180 a n d 45 \times 3 = 135$

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