Question

two number has a difference of 15 and their sum is 23 then what is the difference of their square​

Answer 1

Answer:

Step-by-step explanation:

let the numbers be a and b

a+b=23

a-b=15

on solving

2a=38

a=19

on putting value of a

19+b=23

b=23-19

 =4

thus numbers are 4 and 19

Answer 2

Answer:

Step-by-step explanation:

If you take the two numbers to be x and y, then according to the question.

The summation of two numbers is 23.

Which is x + y = 23.

And the difference between the two numbers is 15, which is x - y = 15.

On adding both the equations we get, 2x=38

Thus, x= 19.

Now, to find the difference between their squares we get that , (x^2 - y^2) .

(x^2 - y^2) can also be written as (x+y)(x-y).

Which is nothing but 23*15=345.