Question

what are those two numbers whose sum is 58 and difference is 28?​

Answer 1

Answer:

The two numbers are whose sum is 58 and difference is 28 are 15 and 43.

Answer 2

Solution :-

let the two numbers be x and y respectively

Sum

sum of both is 58, so equation will be

$x + y = 58$

Difference

Difference of both the number is 28, so here the equation will be

$x - y = 28$

Finding values

Now let's the value of x and y

To find the value of x and y we will use elimination Method

$\bf \small \red{Refer \: to \: the \: attachment}$

Final Answer :-

The value of x is 43 and the value of y is 15

So, the two numbers 43 and 15

Verification :-

substitute the value of x and y in the equation of their sum

$x + y = 58$

$43 + 15 = 58$

$58 = 58$

$\bf \small \: LHS = RHS$

Also, substitute the value of x and y in the equation of their difference

$x - y = 28$

$43 - 15 = 28$

$28 = 28$

$\bf \small \: LHS = RHS$

$\bf \small \: Hence \: verified !$