Question

What are those two numbers whose sum is 58 and difference in 28?

Answer 1

Answer:

x=43,y=15

Step-by-step explanation:

Let the two numbers be x and y

According to question

x+y=58

x-y=28

On solving

x=43,y=15

Answer 2

Question:-

What are those two numbers whose sum is 58 and difference in 28?

Solution:-

Let the unknown numbers be 'x' and 'y' respectively.

Now, sum of the numbers= 58

Then,

x+y=58 -(1)

And , difference of the numbers= 28

Then,

x-y= 28 -(2)

Adding equation -(1) and -(2)

$\bold{x + y + (x - y) = 58 + 28}$

$\bold{ \implies \: x + \cancel{y }+ x - \cancel{y }= 86}$

$\bold {\implies2x = 86}$

$\bold{ \implies \: x = \frac{86}{2}}$

$\bold{ \implies \: x = \frac{ \cancel86}{ \cancel2} }$

$\boxed{ \bold{ \implies \: x = 43} }$

Substituting the value of x= 43, and putting in equation -(2)

x-y= 28

$\bold{\implies43 - y = 28}$

$\bold{ \implies \: - y = 28 - 43}$

$\implies \bold{\cancel - y = \cancel - 15}$

$\boxed{ \implies \bold{y = 15}}$