Question

The HCF of two numbers is 7 and LCM is 210. If one of the number is 35, Then what is the another number ?​

Answer 1

$\huge \red { \boxed{ \boxed{ \mathsf{ \mid \ulcorner Answer : \urcorner \mid }}}}$

Let other number be x

One number = 35

L.C.M = 210

H.C.F = 7

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We have formula :-

$\Large{\boxed{\boxed{\green{\sf{Product \: of \: No. \: = \: L.C.M \times H.C.F}}}}}$

_______________[Put Values]

⟹ 35 * x = 210 * 7

⟹ 35x = 1470

⟹ x = 1470/35

⟹ x = 42

$\huge{\sf{x \: = \: 42}}$

•°• Other number will be 42

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Answer 2

Question :

The HCF of two numbers is 7 and LCM is 210. If one of the number is 35, then what is the another number ?

Solution :

$\underline{\bold{Given:}}$

• HCF of the two numbers=7
• LCM of the two numbers=210
• One number = 35

$\underline{\bold{To\:Find:}}$

• The another number .

$\boxed{\pink{Another\:number = \frac{ HCF\times LCM}{One \:number}}}$

$\implies Another\:number = \frac{ HCF\times LCM}{One \:number} \\ \\\implies Another\:number = \frac{ 7\times 210}{35} \\\\ \implies Another\:number = 42$

$\fbox{\green{\therefore {The\:another\:number \:is\:42.}}}$

$\underline{\bold{Verification:}}$

$\boxed{\because{\blue{Product\:of\:two\:numbers=HCF\times LCM}}}$

$\implies Product\:of\:two\:numbers=HCF\times LCM\\\implies 35\times 42=7\times 210 \\\implies 1470=1470\\\implies LHS=RHS$

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