Question

HCF of two numbers is 2 and their LCM is 84 if one number is 14 find the other number

Answer 1

We know that the product of two numbers is equal to the product of their Lowest Common Multiple and Highest Common Factor, ⤵

↪ I number × II number = HCF × LCM





So,

⏩ Product of 14 and other number = product of 2 and 84


▶ 14 × other number = 2 × 84

$= > other \: number \: = \frac{84 \times 2}{14} \\ \\ \\ = > other \: number \: = 6 \times 2 \\ \\ \\ other \: number \: = 12$

Answer 2

The other number is 12 if HCF and LCM of two numbers are 2 and 84 and one number is 14.

Given :  

HCF of two numbers = 2

LCM of two numbers = 84

One number = 14

To find :  Other number

Formula used :

HCF × LCM = first number  ×  Other number

SOLUTION :  

Step1 : Substitute the value of HCF , LCM and other number in the above formula:

One number = 14 , HCF of two numbers = 2 , LCM of two numbers = 84

As we know that,  

HCF × LCM = One number  ×  Other number

2 × 84 = 14 × Other number

Other number = $\bf \frac{2 \times 84}{14}$

Other number = $\bf \frac{84}{7}$

Other number = 12

Hence, the other number is 12.

Learn more on Brainly:

If HCF (26, 169) = 13, then LCM (26, 169) =

brainly.in/question/15917259

Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of the integers:

(i)26 and 91

(ii)510 and 92

brainly.in/question/6695467

#SPJ2