Question

product of two number in 45 and their sum is 14 find the number​

Answer 1

Answer:

answer is 9 and 5

Answer 2

Answer:

The required Numbers are 9 and 5

Step-by-step explanation:

Given:-

Product of two numbers 45 and their sum is 14

To find:-

find the numbers

Solution:-

Let the numbers be a and b

Their product=45

=>ab=45

The sum of the numbers =14

=>a+b=14......(1)

we know that

(a-b)²=(a+b)²-4ab

=>(a-b)²=(14)²-4(45)

=>(a-b)²=196-180

=>(a-b)²=16

=>(a-b)=√16

=>(a-b)=±4

taking positive then

a-b=4.....(2)

from (1) and(2)

a+b=14

a-b=4

(+)-----------

2a+0=18

---------------

2a=18

=>a=18/2

a=9

now from (1)

9+b=14

=>b=14-9=5

we have ,

a=9

b=5

Answer:-

The numbers are 9 and 5

Check:-

their sum =9+5=14

Their product=9×5=45