Question

H.C.F and l.C.M of two numbers are 8 and 96 respectively. If one of the two numbers is 24, what is the other number?

Answer 1

As we know that,

HCF × LCM = Product of the two numbers

HCF=8

LCM=96

FIRST NO.=24

Substituting in the formula, we get

⇒8 × 96 = 24 × Second no.

⇒(8 × 96) ÷ 24 = Second No.

By solving the equation we get the value as 32,

Therefore the second no. is 32

Hope it helped you ! Cheers

Answer 2

Given :-

$\sf\bullet { H.C.F\:=\:8}$

$\sf\bullet{L.C.M\:=\:96}$

$\sf\bullet{One\:Number\:=\:24}$

To find :-

$\sf\bullet{Another\:Number}$

Formula used !

$\bigstar{\boxed{\sf{H.C.F \times L.C.M\:=\: Product\:of\:numbers}}}$

Solution:-

$\sf{Let\: another\:number\:=\:a}$

A.T.Q

$\sf{H.C.F \times L.C.M\:=\: Product\:of\:numbers}$

$\sf{8 \times 96\:=\: 24 \times a}$

$\sf{a\:=\: \dfrac{8 \times 96}{24}}$

$\sf{a\:=\: \dfrac{8 \times \cancel{96}}{\cancel{24}}}$

$\sf{a\:=\: 8 \times 4}$

$\sf{a\:=\: 32}$

Verification:-

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$\sf{H.C.F \times L.C.M\:=\: Product\:of\:numbers}$

$\sf{8 \times 96\:=\: 32 \times 24}$

$\sf{768\:=\:768}$

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$\sf{ \underline{ \underline{So\: another\:number \:is \:32}}}$