1.

The LCM of two numbers is 10 times their HCF, one number is 24 what is the other number?

Answer»

Answer:

let the hcf be x then lcm be 10x

lcm*hcf= product of TWO number

let other number be n

x*10x=24*n

10x^2=6*4*n

x^2=6*4*n/10

to complete square RHS must MULTIPLY by 6 and SINCE there is 10 in denominator so it must be multiply by 10

so n=60

x^2=6*4*6*10/10

x=6*2=12

hcf=12

lcm=120


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