Question

The sum of two number is 50 and their difference is 22 find the number with their solution

Answer 1

Hey there!

Given that ,The sum of two numbers is 50 , The difference in two numbers is 22 ,

Let the two numbers be x , y.

Sum of two numbers = x + y = 50 .
Difference of two numbers = x - y = 22 .

So, We are solving the pair of linear equations in two variables.

x + y = 50
x - y =22
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2x = 72
x = 72/2 = 36 .

Therefore, x + y = 50
36 + y = 50
y = 50 - 36
y = 14 .

The number are 36 , 14 .

$\therefore$ The two numbers are 36 , 14

Answer 2

Given that ,

The sum of two numbers = 50

And their differences = 22

Find the numbers = ?

Let the two numbers be " a " and " b "

So , According to the question ,

Sum of the two numbers = a + b = 50

And their differences = a - b = 22

On solving ,

=> [ a + b = 50 ] - [ a - b = 22 ]

=> 2a = 72

=> a = 36

♧ Put the value of " a " = 36 ,

=> a - b = 22

=> 36 - b = 22

=> ( - b ) = 22 ( - 36 )

=> ( - b ) = ( - 14 )

=> b = 14

$\textbf{Hence , the two numbers are 14 and 36}$