Question

the sum of two numbers is 9. The difference is also 9 find the numbers​

Answer 1

Solution:-

Given that, the sum of two numbers is 9 and the difference of the two numbers is 9.

Therefore,

Let the one number be x and let the other number be ( x - 9 )

So, We can right it as :-

x + ( x - 9 ) = 9

Step-by-step explanation:-

: ⟹ x + ( x - 9 ) = 9

: ⟹ x + x - 9 = 9

By transposing 9 to R.H.S

: ⟹ x + x = 9 + 9

: ⟹ 2x = 18

: ⟹ x = 18/2

: ⟹ x = 9

Therefore, the value of x is 9

Now, Let's find the numbers first number:-

Given, x

So, x = 9

Now, the second number:-

Given, ( x - 9 )

We got x as 9, therefore,

= ( 9 - 9 )

= 0

Now, Verification

Given that, x + ( x - 9 ) = 9

By putting the values,

⟹ 9 + ( 9 - 9 ) = 0

⟹ 9 + 0 = 9

⟹ 9 = 9

L.H.S = R.H.S

Hence, Proved.

${\bold{ \huge{R}}{ \sf{equired} \: { \bf{ \huge{A}}{ \sf{nswer}}}}}$

The numbers are 9 and 0.