Sum of two numbers is 36band their hcf and lcm are 3 and 105 resp
Answers
Answered by
0
since the HCF is 3 so let the numbers are 3x and 3y
LCM of 3x and 3 y = 3xy = 105
xy= 35 .........1
3x +3y = 36
X +y = 12
X = 12 -y
put the value of X in equation 1
(12-y) *y = 35
12y - y^2 = 35
y^2 - 12 y +35 = 0
y^2 -7y -5y +35 = 0
y(y-7) -5 (y-7) = 0
(y-7)(y-5)= 0
y = 7 or 5
if y = 5 then X = 7
if y = 7 then X = 5
the numbers are
3*X = 3*7 =21
3*y = 3*5 = 15
LCM of 3x and 3 y = 3xy = 105
xy= 35 .........1
3x +3y = 36
X +y = 12
X = 12 -y
put the value of X in equation 1
(12-y) *y = 35
12y - y^2 = 35
y^2 - 12 y +35 = 0
y^2 -7y -5y +35 = 0
y(y-7) -5 (y-7) = 0
(y-7)(y-5)= 0
y = 7 or 5
if y = 5 then X = 7
if y = 7 then X = 5
the numbers are
3*X = 3*7 =21
3*y = 3*5 = 15
Similar questions