Question

Sum of two number is 52 and their difference is 2

Answer 1

Let the numbers be x and y respectively.

now, x+y=52. --------- (1)
and, x-y=2. --------- (2)

now by elimination method,
2x=54
x=27

now put x=27 in eqn (1),
27+y=52
y=52-27
y=25

Answer 2

The two numbers are 27 and 25.

Step-by-step explanation:

Let the first number = x and the second number = y (x > y)

To find, the two numbers = ?

According to question,

x + y = 52           .........(1)

and,

x - y = 2             .........(2)

Adding equations (1) and (2), we get

x + y + x - y = 52 + 2

⇒ 2x = 54

⇒ x =$\dfrac{54}{2} =27$

Put x = 27 in equation (1),  we get

27 + y = 52

⇒ y = 52 - 27  = 25

⇒ y = 25

∴ The two numbers = 27 and 25

Hence, the two numbers are 27 and 25.