Question

two numbers are such that their sum is 10 the different of the two numbers square is 20 find the number ​

Answer 1

Answer:

The required numbers are 6and 4.

Step-by-step explanation:

Let X and y be the numbers required then according to the question

x+y=10 ......................(1)

and (x^2)-(y^2)=20....... ..(2)

Now we know that

(a^2)-(b^2)=(a+b)(a-b)

From above (1) and( 2)

20=10(x-y)

x-y=2...................(3)

Adding (1) and (3)

x+y+x-y=10+2

2x=12

x=6

Substituting X in (1)

Y=10-6=4

Therefore the required numbers are 6 and 4.