Question

the HCF and LCM of two numbers are 13 and 1989 respectively . If one of the numbers is 117 then find the other number .

Answer 1

let the two numbers are a,and b

a=117, b=?
hcf =13
lcm =1989

product of the given numbers= lcm * hcf

a*b =lcm *hcf
117*b= 1989*13
b= 1989*13/117
b=17*13
b=221
therefore
second number =b=221

Answer 2

Answer:

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,

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

We have given HCF = 13

LCM = 1989

One number is 117

Let the other number be x

Substitute,

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

$117x=13\times 1989$

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

$x=221$

Therefore, Other number is 221.