Question

The lcm and hcf of two numbers are 120 and 6 respectively. If one of the number is 30 then find the other

Answer 1

Here's Ur answer mate ✌✌

>>As we know

product of two no. = product of their LCM and HCF

>> let the other no. be x

>>So,

$120 \times 6 = 30 \times x$

$720 = 30x$

$\frac{720}{30} = x$

$24 = x$

>> other no. is 24

Hope it help u

Thanks

Answer 2

Let the numbers be x and y.

LCM ( x, y ) = 120 ( Given )

HCF ( x, y ) = 6 ( Given )

One number, x = 30 ( Given )

Now,

$\rightsquigarrow$ ( x ) × ( y ) = LCM × HCF

$\rightsquigarrow$ y = ( LCM × HCF ) / x

$\rightsquigarrow$ y = ( 120 × 6 ) / 30

$\rightsquigarrow$ y = 24

Hence, $<b>the required number is 24.</b>$