Question

Sum of two numbers is 15, their difference is 7. What are the numbers ?

Let the numbers be x,​

Answer 1

$\bf\pink{QuestioN:-}$

Sum of two numbers is 15, their difference is 7. What are the numbers ?

$\bf\green{AnsweR:-}$

Given that,

The sum of two numbers = 15

It's difference = 7

Let, one of the number be x and the other number be y.

Then, according to the given condition,

$:\implies\bf{x+y = 15}$ --------- Eq. 1

$:\implies\bf{x-y = 7}$ -----------Eq. 2

On adding equation 1 and 2,

$:\implies\bf{2x=22}$

$:\implies\bf{x=\dfrac{22}{2}}$

$:\implies\bf{x=11}$

On substituting the value of x in equation 1 , we get,

$:\implies\bf{11+y=15}$

$:\implies\bf{y=15-11}$

$:\implies\bf{y=4}$

That is,

Value of x = 11

Value of y = 4

VerificatioN:-

Now we know the value of x and y.

So we can substitute these values in equation 2.

$:\implies\bf{x-y=7}$

$:\implies\bf{11-4=7}$

$:\implies\bf{7=7}$

LHS = RHS!

Hence Verified!