Question

The difference of these two numbers is 3. their sum is 21. what are the two numbers?

Answer 1

Answer:

The two numbers are 12 and 9.

Step-by-step explanation:

Refer to the attachment :)

Answer 2

$\textbf{ \large{ \underline{Given : }}} \\ \\ \bigstar \: \text{Difference of two numbers = 3} \\ \bigstar \: \text{Sum of these two numbers = 21}$

$\textbf{ \large{ \underline{To find : }}} \\ \\ \bigstar \: \text{ These two numbers}\\\\\textsf{Now,} \\ \textsf{ \: \: \: \: Let these two numbers be x and y }$

$\large{ \tt{x - y = 3 - - - (1)}} \\ \\ \large{ \tt{x + y = 21 - - - (2)}} \\ \\ \sf{from \: eq^{n} (1), \: we \: get...} \\ \\ \longrightarrow \: \sf{x = 3 + y} \\ \\ \sf{putting \: this \: value \: of \: x \: in \: {eq}^{n} (2)} \\ \\ \longrightarrow \: \sf{3 + y + y = 21}\\ \\ \longrightarrow \: \sf{3 + 2y = 21}\\ \\ \longrightarrow \: \sf{2y = 21 - 3}\\ \\ \longrightarrow \: \sf{y = \cancel{\dfrac{18}{2} }}\\ \\ \longrightarrow \: \large{ \bf{y = 9}} \\ \\ \sf{putting \: this \: value \: of \: y \: in \: {eq}^{n} (1)} \\ \\ \longrightarrow \: \sf{x - 9 = 3} \\ \\ \longrightarrow \: \sf{x = 3 + 9} \\ \\ \longrightarrow \: \large{\bf{x = 12}}$

$\boxed{\textbf{So, these two numbers are 9 and 12}}$