The product of two numbers is 60. If half of their sum is 16, what are the two numbers?

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=16ii

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

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