The product of lcm and hcf of two number is 24.the difference of 2 numbers is 2 then the numbers is
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if number are X and y
lcm*hcf=xy
xy=24............1
x-y =2
x= 2+y............2
sub eq 2 in 1
(2+y)* y =24
2y + y^2 - 24=0
y^2+2y-24 = 0
y^2+6y-4y-24=0
y(y+6)-4(y+6)=0
(y+6) (y-4)=0
then the 2 number is 6 and 4
lcm*hcf=xy
xy=24............1
x-y =2
x= 2+y............2
sub eq 2 in 1
(2+y)* y =24
2y + y^2 - 24=0
y^2+2y-24 = 0
y^2+6y-4y-24=0
y(y+6)-4(y+6)=0
(y+6) (y-4)=0
then the 2 number is 6 and 4
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