Question

Lcm of two no. Is 14 times their HCF. The sum of LCM and HCF is 600 . If one no. Is 128 , find other.

Answer 1

hi

let hcf be x

then lcm = 14x

The sum of LCM and HCF is 600

hcf + lcm = 600

x +14x = 600

15x = 600

x = 600/15

x = 40

hence hcf is 40

now lcm = 14x

= 40 *14
 
= 560

one no. Is 128 , find other.

so lets recall a property

hcf *lcm = product of 2 no.

560* 40 = 128 * other no.

other no. = 560 *40/128

other no . =  175

hope it helps u

:0

Answer 2

Heya !!!


Let the HCF of two numbers be X.


LCM = 14 × X = 14X



According to question,


LCM + HCF = 600


14X + X = 600


15X = 600


X = 600/15

X = 40



LCM of two numbers = 14X = 14 × 40 = 560


And,


HCF of two numbers = X = 40



One Number = 128



We know that,



One Number × Other Number = HCF × LCM


128 × Other Number = 40 × 560


Other Number = 40 × 560/128


Other Number = 175


Hence,


Other Number is 175.




HOPE IT WILL HELP YOU...... :-)