Question

Solve these problems by writing the statements.

The product of HCF and LCM of two numbers is 9072. If one of the numbers is 72, find the other number.

Answer 1

Answer:

$\huge\underline\mathcal{\red{Answer:-}}$

126

Step-by-step explanation:

$\huge\underline\mathcal{\red{Question:-}}$

$\implies$ The product of HCF and LCM of two numbers is 9072. If one of the numbers is 72, find the other number.

$\huge\underline\mathcal{\purple{Hint:-}}$

• We will use the relation between the product of the Numbers and the product of LCM and HCF (which is applicable for only two numbers).

$\huge\underline\mathcal{\blue{Solution:-}}$

Given, Product of the HCF and the LCM of two numbers is 9072

One of the numbers is 72.

Let the other number be x

We know that;

HCF × LCM = Product of the two numbers

$\implies$ 9072 = 72 × x

$\implies$ x × 72 = 9072

$\implies$ $x = \frac{9072}{72}$

$\implies$ $x \: = 126$

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$\tiny\mathfrak{\red{@MissTranquil}}$

Answer 2

$\huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}$

$\longmapsto \tt 126 \\ \\ </p><p>\huge\large \fbox \red{explanation:}$

$\Huge{\textbf{\textsf{{\color{orange}{QuE}}{\purple{sti}}{\pink{On}}{\color{pink}{:}}}}}$

=> The product of HCF and LCM of two numbers is 9072. If one of the numbers is 72, find the other number.

$\huge\underline\mathcal{\purple{Hint:-}}$

We will use the relation between the product of the Numbers and the product of LCM and HCF (which is applicable for only two numbers).

$\Huge{\textbf{\textsf{{\color{orange}{SoL}}{\purple{uTi}}{\pink{On}}{\color{pink}{:}}}}}$

Given => Product of the HCF and the LCM of two numbers is 9072

• One of the numbers is 72.

• Let the other number be x

We know that;

HCF × LCM = Product of the two numbers

=> 9072 = 72 × x

=> x × 72 = 9072

=> x = 9072/ 72

=> x = 126x=126

Hence, Other number is 126

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