Question

The sum of two numbers is 11 and their difference is 5. Find the numbers. (Consider the second number as 11-x)

Answer 1

Given:

• The sum of two numbers is 11 and their difference is 5.

To Find:

• The number

Solution:

Let one of the two numbers be X

↦ Other number = 11 – x.

According to the Question:

$\small{ \therefore \: \: \rm{{ \color{teal}{x – (11 – x) = 5}}}}$

$\space$

$\large{ \longrightarrow \: \: { \tt{x – 11 + x = 5 }}}$

$\space$

$\large{ \longrightarrow \: \: { \tt{2x – 11 = 5}}}$

▶Transposing 11 to RHS, We get

$\large{ \longrightarrow \: \: { \tt{2x = 5 + 11 }}}$

$\space$

$\large{ \longrightarrow \: \: { \tt{2x = 16}}}$

$\space$

$\large{ \longrightarrow \: \: {x = \frac{ \cancel{16}}{ \cancel{2} } }}$

$\space$

$\large{ \longrightarrow \: \: { \pink{ \colorbox{lavender}{ \boxed{ \bf{x = 8}}}}}}$

Therefore, the required numbers are 8 and 11 – 8 = 3

_________________________________