Question

the sum of two number is 25 and their difference is 13 find their product ​

Answer 1

Answer:

Let two number be x and y

According to question

x + y = 25

x - y = 13

On adding it

2x = 38

x = 38/2

x = 19

Then as given

x + y = 25

19 + y = 25

y = 25 - 19

y = 6

Therefore

Their product = xy = 19 × 6 = 114

I hope it helps you.

Answer 2

Step-by-step explanation:

let the two numbers be x and y

x + y = 25 (sum) -------equation 1

x - y = 13 (difference) -----------equation 2

solve equations 1 and 2

x + y = 25

x - y = 13

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

2x - 0 = 38

2x = 38

x = 38/2

x= 19

put the value of x in equation 1 or 2 to get the value of y

x + y = 25

(19) + y = 25

y = 25 - 19

y = 6

Now, we have to find the product of x and y

so,1

xy = 19×6

xy = 105