Question

the sum of two numbers are 26 and their difference is 2. What is the numbers
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Answer 1

Answer:

The numbers are 14 and 12.

Step-by-step explanation:

Let the two numbers be X and Y

Given that X + Y = 26 first equation

X - Y = 2 second equation

Solve first and second equation

X + Y = 26

X - Y =2

( +Y, -Y cancel)

2X = 28

X = 28/2

X = 14

Substitute 'X' value in first equation

X + Y = 26

14 + Y = 26

Y = 26 - 14

Y = 12

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Answer 2

Given:

Sum of two numbers = 26

Difference = 2

To Find:

The two numbers

Solution:

Let the first numbers be = x

Let the second number be = y

Therefore, according to question -

x + y = 26 and x - y = 2

Solving the equations -  

= x + y = 26 = x - y =2

= x + x = 26 + 2

= 2x  = 28

x = 28/2

x = 14

Substituting the value of x in the first equation

x + y = 26

14 + y = 26  

y = 26 - 14

y = 12

Answer: The numbers are 12 and 14.