HCF and LCM equation

The LCM of two numbers is 20 times their HCF and (LCM+HCF)=2520. If one number is 480, what will be the triple of another number?

Correct answer:

w =  1800

Step-by-step explanation:

x=480  LCM(x,y) = 20 GCD(x,y) LCM(x,y)+GCD(x,y) = 2520 GCD(x,y)+ 20 GCD(x,y)= 2520 21 GCD(x,y)= 2520 GCD= 2520/21 = 120 LCM(x,y) = 20   120= 2400  x  y = 120   2400  y=x120 2400=480120 2400=600  w=3 y=3 600=1800



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