Question

Lcm of two number is 14 times there hcf the sum of lcm and hcf is 600 of 1 number is 280 find the other number

Answer 1

Heya !!



Let HCF of two numbers be X.



LCM of two numbers = 14X.




According to the question,




LCM + HCF = 600



14X + X = 600



15X = 600


X = 600/15



X = 40




HCF of two numbers = X = 40


And,


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



One number = 280


Other number = ?



We know that,



One number × Other number = HCF × LCM




280 × Other number = 40 × 560



Other number = ( 40 × 560)/280



Other number = 80