Question

The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117 , find the other.​

Answer 1

Other number is 221.

Step-by-step explanation:

Given : The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117.

To find : The other number?

Solution :

We know that,

\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM

We have given HCF = 13

LCM = 1989

One number is 117

Let the other number be x

Substitute,

\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM

117x=13\times 1989117x=13×1989

x=\frac{13\times 1989}{117}x=

117

13×1989

x=221x=221

Therefore, Other number is 221

Answer 2

(Given) HCF=13
LCM=1989
First number=117
(To find)Let Second number=x
(Solution)
We know that,
Product of two numbers= product of HCF and LCM
117*x=13*1989
117*x=25857
x=25857/117
x=221
The answer = 221