Question

HCF and LCM of two numbers are 100 and 2800.Find the other number if one of the number is 700.

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Answer 1

Answer:

1 number × 2 number = HCF × LCM

700×x= 100 × 2800

x= 280000/700

X= 400

Answer 2

Given:

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• HCF and LCM of two numbers are 100 and 2800 respectively.
• One of the number is 700

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☯ Let 'a' be the first number and 'b' the second number.

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We know that,

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

$:\implies\sf LCM \times HCF = a \times b$

$:\implies\sf 2800 \times 100 = 700 \times b$

$:\implies\sf 280000 = 700b$

$:\implies\sf b = \cancel{ \dfrac{280000}{700}}$

$:\implies{\boxed{\frak{\pink{b = 400}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;the\; other\;number\;is\; \bf{400}.}}}$

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$\qquad\qquad\qquad\quad\boxed{\underline{\underline{\purple{\bf{\bigstar \: Verification\:\bigstar}}}}}$

$\dashrightarrow\sf LCM \times HCF = a \times b$

$\dashrightarrow\sf 2800 \times 100 = 700 \times 400$

$\dashrightarrow\sf 280000 = 280000$

$\dag\;{\underline{\underline{\bf{\pink{Hence\; Verified!!}}}}}$