Question

यदि दो संख्याओं का गुणनफल 32 है तथा एलसीएम 8 है तब उनका एचसीएफ होगा class 10

Answer 1

दिया हुआ है :-

• $\begin{cases} \bf The \: product \: of \: two \: \: numbers \: is \: 32. \\ \\ \bf \: lcm \: is \: 8\: \: \end{cases}$

ज्ञात करना है :-

• उनका एचसीएफ होगा

सूत्र अनुसार :-

• $\boxed{ \sf \pink{HCF x LCM = 1st \: no. x 2nd \: no. \: }}$

प्रश्नानुसार :-

$\sf \to h \times 8 = 32 \\ \\ \sf \to \: </p><p>h = \: \frac{32}{8} \\ \\ \sf \to \: \cancel{ \frac{32}{8} } \\ \\ \sf \to \red{</p><p>h = 4}</p><p>$

इस प्रकार FCF 4 है

Answer 2

$\sf{✝QUESTION}$

Three numbers are in ratio 3:6:8. If there product is 9216 , then find the sum of all three numbers?

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ANSWER

Let 1st number be = 3x

Let 2nd Number be = 6x

Let third number be = 8x

Product of numbers = 9216

A.T.Q : -

$\pink{\implies\tt{3x\times{6x}\times{8x}=9216}}</p><p>$

$\implies\tt{144 \: {x}^{3}=9216}</p><p>$

$\orange{\implies\tt{{x}^{3}=\cancel\dfrac{9216}{144}}}$

$\implies\tt{{x}^{3}=64}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{x}\orange{=}\red{4}}}$

_______________________

➥Now ,

$\purple{\implies\tt{First\:Number=3(4)}</p><p>}$

$\implies\tt\bold{12}$

$\red{\implies\tt{2nd\:Number=6(4)}}</p><p>$

$\blue{\implies\tt\bold{24}}</p><p>$

$\green{\implies\tt{3rd\:Number=8(4)}}$

$\implies\tt\bold{32}$

★Sum of all three numbers : -

$\gray{\implies\tt{12+24+32=68}}$

☯️VERIFICATION : -

$\implies\tt{3x\times{6x}\times{8x}=9216}</p><p>$

$\implies\tt{3(4)\times{6(4)}\times{8(4)}=9216}$

$\implies\tt{12\times{24}\times{32}=9216}$

$\implies\tt\bold{9216=9216}$

° HENCE VERIFIED °