Question

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

Answer 1

Answer:

The second Number is 221.

Step-by-step explanation:

Given :

HCF of the numbers = 13

LCM of the numbers = 1989

One Number = 117

To Find :

The second Number

Solution :

Consider the Number as x

★ Relation between HCF and LCM =

Product of 2 number = Their HCF × LCM

$\longrightarrow$ 117 × x = 1989 × 13

$\longrightarrow$ 117x = 25857

$\longrightarrow$ x = 25857/717

$\longrightarrow$ x = 221

$\therefore$ The second Number is 221.

Verification:

$\longrightarrow$ 117 × x = 1989 × 13

$\longrightarrow$ 25857 = 25857

$\therefore$ The second Number is 221.