Question

Difference between two numbers is 18. HCF and LCM of two numbers are 3 and 273. Find the sum of squares of two numbers

Answer 1

Answer:

let the two number be x, y

Step-by-step explanation:

x-y=18

xy=819

y=819/x

x-y=18

x-819/x=18

(x^2-819)/x=18

x^2-819=18x

x^2-18x-819

x^2-39x+21x-819=0

x(x-39) +21(x-39) =0

(x-39) (x+21)=0

x=39,-21

the two number are 39,-21