Question

find the numbers whose sum is 193 and product is 8856​

Answer 1

Let the 2 numbers be x and y with x > y

⇒

x+y=12

→

(1)

←

sum of 2 numbers

⇒

x−y=4

→

(2)

←

difference of numbers

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve.

⇒

(1)+(2)

gives

(x+x)+(−y+y)=(4+12)

⇒

2x=16

divide both sides by 2

2x2=162

⇒

x=8

Substitute this value into equation ( 1 ) and solve for y

⇒

8+y=12

⇒

y=12−8=4

Thus the 2 numbers are 8 and 4.

Hope It Helps You.

Answer 2

your answer in short cut is

so the two numbers are 8&4