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Given that, $LCM = 45 \times HCF \quad\rightarrow(1)$

and, $LCM + HCF = 1150\quad\rightarrow(2)$

Now, put the value from the equation $(1)$ of $LCM$ in the equation $(2),$ then we get

$45 \times HCF + HCF = 1150$

$\implies 46HCF = 1150$

$\implies HCF = 25,\;LCM = 1125$

We know that, $\text{First number} \times \text{Second number} = \text{LCM} \times \text{HCF}$

$\implies 125 \times \text{Second number}  = 1125 \times 25$

$\implies \text{Second number}  = 225$

So, the correct answer is $(B).$
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