Question

two no.s differ by 5. if their product is 336, then the sum of the 2 numbers is =?

Answer 1

let one no. is x and other is y
then A.T.Q
x-y=5
xy=336
x-y=5
x=5+y
put value of x in equation 2
xy=336
(5+y)y=336
5y+y^2=336
y^2+5y-336=0
y^2-21y+16y-336=0
y(y-21)+16(y+21)=0
(y-21)(y+16)=0
y=21,-16
if y=21 then
x-21=5
x=26
if y=-16 then
x+16=5
x=-11
therefor the sum of x and y is
if y=21 then x=26 and x+y=47
if x=-11 and y=-16 then x+y=-27
hope its helpful for you