Question

The sum of two numbers is 25 and their difference is 1. Find the numbers​

Answer 1

AnSwer -:

The two numbers are 13 and 12.


______________________________________________________________
_______________________________

Explanation -:


Given ,

The sum of two digit number is 25 and

their difference is 1

To find ,

The two numbers.

_______________________________

Let the two numbers be x and y

According to the question,

Their sum is 25

x + y = 25 ........(1)

Now ,

Their difference is 1,

x - y = 1.............(2)


Then ,


Add equation 1 and equation 2

x + y + x - y = 25 + 1

x + x + y - y = 26

2 x + y- y = 26

2 x = 26

By adding both equations we get ,

2x = 26


Now ,


2x = 26

x = 26/2

x = 13

Therefore,

The first number is x = 13

The second number is =

x + y =25

13 + y = 25

y = 25 -13

Y = 12

Hence ,


The two numbers are 13 and 12.


______________________________________________________________

Answer 2

$\huge\star{\underline{\mathfrak{\red{A}\pink{N}\green{S}\orange{W}\blue{E}\purple{R}\star}}}$

Let the two number be x and y

the sum of first two numbers is 25

=> x + y = 25 ........eq.. (Ⅰ)

difference is 1

=> x - y = 1 .........eq.. (Ⅱ)

adding equation ( Ⅰ ) and ( Ⅱ )

=> x + x + y - y = 25 + 1

=> 2x = 26

$= > \: x = \frac{26}{2}$

$= > \: \: x \: = \: 13$

put x = 13 in eq ( Ⅰ ) we get

=> x+y = 25

=> 13 + y = 25

=> y = 25 - 13

=> y = 12

The two numbers are 13 and 12 !