Question

The sum of two numbers is 26 and their difference is 2 which are the numbers​

Answer 1

Step-by-step explanation:

x + y = 26 (i)

x - y = 2 (ii)

Adding (i) and (ii) eqn

x+y+x-y = 26+2

2x = 28

x = 28/2 = 14

Putting the value of x in equation (i)

14 + y = 26

y = 26-14 =12

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Answer 2

Answer:

14 and 12 are two numbers whose sum is 26 and the difference is 2.

Step-by-step explanation:

Let us assume that the numbers are a and b.

∴ According to the question,

a + b = 26.................(equation 1)

and,

a - b = 2....................(equation 2)

Now, adding eq. 1 + eq. 2, we get,

    a + b = 26
(+) a - b = 2
----------------------
   2a = 28

⇒ a = $\frac{28}{2}$

⇒ a = 14

Now, substituting the value of a in eq. 2, we get,

a - b = 2

⇒ 14 - b = 2

⇒ b = 14 - 2

⇒ b = 12

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