Question

please do above questions​

Answer 1

Step-by-step explanation:

Question :

• The product of two numbers is 972. If their L.C.M is 108, find their H.C.F.

Solution :

Product of two numbers = L.C.M × H.C.F

• 972 = 108 × H.C.F
• H.C.F = 972 ÷ 108
• H.C.F = 9

∴ H.C.F is 9.

Question :

• The H.C.F and L.C.M of two numbers are 6 and 360 respectively. If one of the numbers is 24, find the other number.

Solution :

Product of two numbers = L.C.M × H.C.F

• 24 × Other number = 330 × 6

• 24 × Other number = 2160

• Other number = 2160 ÷ 24

• Other number = 90

∴ Other number is 90.

Answer 2

Step-by-step explanation:

$\rm \: {\huge \star} \: Question$

$\rm \: (e) \: The \: product \: of \: two \: numbers \: is \: 972 . \: If \: their \: LCM \: is \: 108 \: , \: find \: their \: HCF .$

$\rm {\huge \star}solution$

$\rm \longmapsto \: Let \: the \: HCF \: be \: \bf x$

${\boxed {\underline{ \rm \: The \: product \: of \: two \: number \: is = HCF × LCM }}}$

So, let's us put the value and solve

$\longmapsto \rm \: 972 = x \times 108$

$\longmapsto \rm \: 972 = 108x$

$\longmapsto \rm \: \dfrac{972}{108} = x$

$\longmapsto \rm \: 9 = x$

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$\rm \: {\huge \star} \: Question$

$\rm \: The \: HCF \: and \: LCM \: of \: two \: numbers \: are \: 6 \: and \: 360 \: respectively \: . \: If \: one \: of \: the \: number \: is \: 24 \: , \: find \: the \: other \: number$

$\rm {\huge \star}solution$

$\rm \longmapsto \: Let \: the \: other \: number \: be \: \bf x$

${\boxed {\underline{ \rm \: The \: product \: of \: two \: number \: is = HCF × LCM }}}$

So, let us put the value in the equation

$\longmapsto \rm \: 24x= 360 \times 6$

$\longmapsto \rm \: x = \dfrac{360 \times 6}{24}$

$\longmapsto \rm \: x = 90$

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