Let the numbers be x and y
x+y=10…(1)
x=10-y…(2)
xy=24….(3)
Put eqn (2) in eqn (3)
(10-y)y=24
10y-y^2=24
y^2-10y-24=0
The coefficient of y multiply by twenty four
y^2-6y-4y+24=0
y(y-6)-4(y-6)=0
(y-4) (y-6)
y=4 or6
Let the numbers be x and y
x+y=10…(1)
x=10-y…(2)
xy=24….(3)
Put eqn (2) in eqn (3)
(10-y)y=24
10y-y^2=24
y^2-10y-24=0
The coefficient of y multiply by twenty four
y^2-6y-4y+24=0
y(y-6)-4(y-6)=0
(y-4) (y-6)
y=4 or6
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