Answer:
Step-by-step explanation:
Let the two numbers be x& y
Product of the two number is
xy=60 ....i
Half of the Sum of the two number
x+y/2=16.....ii
Solve simultaneously
When we cross multiply,
Equation 2 will be
X+y=32
make x subject of formulate
x=32-y
Substitute for x in equation 1
y(32-y)=60
32y-y^2=60
Rearrange we get
Y^2-32y+60
Factorise
y^2-30y-2y+60
(y^2-30y)-(2y+60)
y(y-30)-2(y-30)
(y-30)(y-2)=0
y=30 and y=2
To get x
When y=30
x=32-y
x=32-30
x=2
When y=2
X=32-y
x=32-2
x=30
Therefore y=30,2 and x=30,2
