Question

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

Answer 1

Step-by-step explanation:

please refer to the attachment given below

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Numbers are 43 and 15

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Sum of the Numbers = 58

Difference of the Numbers = 28

To Find :

The Numbers

Solution :

Consider -

• The Greater Number as x
• Second Number as y

According to the Question -

★ $\boxed{\bf{x+y=58}}$

$\longrightarrow$ x + y = 58

$\bf{\longrightarrow} \: x = 58 - y \: ............[ 1]$

$\rule{300}{1.5}$

★ $\boxed{\bf{x-y=28}}$

$\longrightarrow$ x - y = 28

Substitute the Value of x form Equation [1]

$\longrightarrow$ (58 - y) - y = 28

$\longrightarrow$ 58 - y - y = 28

$\longrightarrow$ 58 - 2y = 28

$\longrightarrow$ - 2y = 28 - 58

$\longrightarrow$ - 2y = - 30

$\longrightarrow$ 2y = 30

$\longrightarrow$ y = 30/2

$\longrightarrow$ y = 15

$\rule{300}{1.5}$

Place the Value of y in Equation [1]

$\longrightarrow$ x = 58 - 15

$\longrightarrow$ x = 43

$\therefore$ The Numbers are 43 and 15.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Check if their sum is 58

$\longrightarrow$ 43 + 15

$\longrightarrow$ 58

Check if their difference as 28

$\longrightarrow$ 43 - 15

$\longrightarrow$ 28

$\therefore$ The Numbers are 43 and 15.