Question

LCM and HCF of two numbers are 4125 and 25 respectively one number is 375 find by how much is a second number less than the first??​

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Answer 1

Answer:

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Answer 2

Given: The LCM and HCF of two numbers are 4125 and 24 respectively.

Need to find: How much is a second number less than the first?

❒ Let the first number be 375 and second number be x.

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$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

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$\star\; \boxed{\sf{\pink{Product \; of \: two \; numbers = LCM \times HCF}}}$⠀

Therefore,

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$\begin{gathered}:\implies\sf 375 \times x = 4125 \times 25 \\\\\\:\implies\sf x = \bigg(\dfrac{4125 \times 25}{375} \bigg) \\\\\\:\implies\sf x = \dfrac{103,125}{375} \\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 275}}}}}\;\bigstar\end{gathered}$⠀⠀

As per given Condition:⠀⠀⠀

How much second number is less than the first number.

Therefore,

$:\implies\sf 375 - 275 = 100$

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$\therefore{\underline{\sf{Hence,\; second\; number\; is \; less \; than \; the \: first \; number\: by\; \bf{100 }.}}}$