Math, asked by reenat794, 10 months ago

HCF OF 6 AND "a" is 2 . And LCM is 60 of the same . Find the value of "a".

Answers

Answered by skh2
1

\boxed{\boxed{\green{\bold{\sf{a=20}}}}}

 \rule{200}{2}

\underline{\mathbb{STEP\:BY\:STEP\:EXPLANATION} }

The two numbers given are 6 and "a"

HCF(6,a) = 2

LCM(6,a) = 60

Where,

HCF stands for Highest Common Factor

LCM stands for Least Common Multiple

 \rule{200}{2}

We know that :-

Product(a, b) = LCM(a, b) *HCF(a, b)

 \rule{200}{2}

According to this rule we have :-

6a = 60 \times 2 \\  \\  \\a =  \frac{60 \times 2}{6} \\  \\  \\  \\a = 10 \times 2 \\  \\  \\  \\a = 20

 \rule{200}{2}

Thus value of a is equal to 20

Answered by Anonymous
0

Step-by-step explanation:

The two numbers given are 6 and "a"

HCF(6,a) = 2

LCM(6,a) = 60

Where,

HCF stands for Highest Common Factor

LCM stands for Least Common Multiple

We know that :-

Product(a, b) = LCM(a, b) *HCF(a, b)

According to this rule we have :-

\begin{lgathered}6a = 60 \times 2 \\ \\ \\a = \frac{60 \times 2}{6} \\ \\ \\ \\a = 10 \times 2 \\ \\ \\ \\a = 20\end{lgathered}

Thus value of a is equal to 20

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