The hcf of two numbers is 173 and their lcm is 6055. if one numbers is 865 . find the other number

Answers 2

Answer:

Given :-
  • The HCF of two numbers is 173 and their LCM is 6055.
  • One number is 865.
To Find :-
  • What is the other number ?
Solution :-

Let,

[tex]\mapsto \bf Other\: Number =\: y\\[/tex]

Given :

  • HCF = 173
  • LCM = 6055
  • One Number (x) = 865

According to the question by using the formula we get,

[tex]\small \implies \sf\boxed{\bold{Product\: Of\: Two\: Numbers =\: HCF \times LCM}}\\[/tex]

[tex]\implies \sf 865 \times y =\: 173 \times 6055\\[/tex]

[tex]\implies\sf 865y =\: 1047515\\[/tex]

[tex]\implies \sf y =\: \dfrac{1047515}{865}\\[/tex]

[tex]\implies \sf\bold{y =\: 1211}\\[/tex]

Hence, the required other number will be :

[tex]\dag[/tex] Other Number :-

[tex]\dashrightarrow \sf Other\: Number =\: y\\[/tex]

[tex]\dashrightarrow \sf\bold{\underline{Other\: Number =\: 1211}}\\[/tex]

[tex]\sf\boxed{\bold{\therefore\: The\: other\: number\: is\: 1211\: .}}\\[/tex]

Answer:

The other will be 1211

Step-by-step explanation:

Given that,

HCF of two number = 173

Their LCM = 6055

One number = 865

To find,

The other number = a

Formula to be used,

Product of two numbers = HCF × LCM

Solution,

=> 865 × a = 173 × 6055

= 865a = 1047515

= a = 1047515 ÷ 865

= a = 1211

Therefore, the other number will be,

= a = 1211 ans.

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