Question

the sum of two numbers is 137 and their difference is 43.fiind the numbers

Answer 1

Let the two numbers be x and y.

So ATQ,
x +y = 137
and x -y = 43.

Adding these two equations we get,

2x =180
So x=90.

Substituting in the second equation,

90- y= 43
So y =47.

So the two numbers are 90 and 47.

HOPE IT HELPS YOU... ☺☺☺

Answer 2

since,

sum of two numbers = 137

difference of those numbers = 43

let the numbers be x and y.

so,

x + y = 137

and,

x - y = 43

then,

let us add those terms,

(x + y) + ( x - y ) = 137 + 43

=> x + y + x - y = 180

=> 2x = 180

$= > x = \frac{180}{2}$

$= > x = 90$

$\textbf{thus, one number (x) = 90 ....answer}$

so, substituting the value of x,

x + y = 137

=> 90 + y = 137

=> y = 137 - 90

=> y = 47

$\textbf{thus, other number ( y ) = 47 ....answer}$