Question

The difference between two number is 3. The difference between their square is54.find the numbers?​

Answer 1

Step-by-step explanation:

Let the two numbers be a & b, such that a>b

So, a−b=3

a

2

−b

2

=54

→(a−b)(a+b)=54

→3(a+b)=54

→(a+b)=18

So, 2a=21

→a=

2

21

→b=

2

15

So, the numbers are

2

21

,

2

15

Answer 2

Answer:

x-y = 3

x^2-y^2=54

9+6y+y^2-y^2=54

9+6y=54

y=7.5

x=3+7.5=10.5