Question

If the sum of two natural numbers is 8
and their product is 15, find the numbers,​

Answer 1

Answer:

the two numbers are 5 and 3

Step-by-step explanation:

sum of 3 and 5 is 8 and product of 3 and 5 is 15

Answer 2

Answer:

x+y=8

xy=15

since x+y=8

x=8-y

now by substiuting this value in second equation we get

(8-y)y=15

By opening the brackets we get

8y-y2=15

By rearranging the equation we get

y2-8y+15=0

By middle term separation we get

y2-5y-3y+15=0

Now by taking respective variables common we get

y(y-5)+3(y-5)

so y is either 5 or -3 but since it is a natural number we cannot consider -3 so y is 5

x+y=8

x+5=8

x=3

Step-by-step explanation:

Therefore the two numbers are 5 and 3