Question

find two numbers if their sum is -7 and their difference is 14

Answer 1

Answer:

odjdksidodododoodoeoeisooeosodiidididididididididdidididodidiixixixixxiciciciciicicic

Answer 2

Answer:

Given,

Sum of two number = - 7

Difference of same two numbers = 14

To Find :-

What are the Numbers.

Solution :-

As,

Sum of two number = - 7

and

Difference of same two numbers = 14

Let,

the two numbers be 'x' any 'y'

So, according to Question :-

x + y = -7 let it be equation (1)

x - y = 14 let it be equation (2)

Adding both equations 1 and 2 :-

x + y + x - y = -7 + 14

x + x = 7

2x = 7

x = $\sf\dfrac{7}{2}$

substituting value of'x' in eq -(1) to get value of 'y'

x + y = - 7

$\sf\dfrac{7}{2}$ + y = -7

$y = - 7 - \frac{7}{2}$

Taking L.C.M as 2

$y = ( - 7 \times \frac{2}{2} ) - \frac{7}{2}$

$y = \frac{ - 14}{2} - \frac{7}{2}$

$y = \frac{ - 14 - 7}{2}$

$y = \frac{ - 21}{2}$

$\sf\therefore$ value of x , y = $\sf\dfrac{7}{2}, \dfrac{-21}{2}$

Verification :-

Substituting value of x and y in equation 1 :-

x + y = - 7

$\frac{7}{2} - \frac{21}{2} = - 7$

$\frac{7 - 21}{2} = - 7$

$\frac{ - 14}{2} = - 7$

$- 7 = - 7$

hence , both x and y satisfies equation 1 .

Substituting value of x and y in equation 2 :-

x - y = 14

$\frac{7}{2} - ( - \frac{21}{2}) = 14$

$\frac{7}{2} + \frac{21}{2} = 14$

$\frac{7 + 21}{2} = 14$

$\frac{28}{2} = 14$

$14 = 14$

Hence x ,y satisfies both the equations.

so,

$\sf\therefore$ value of x , y = $\sf\dfrac{7}{2}, \dfrac{-21}{2}$