Question

10) If the sum of two consecutive numbers is 11, find the numbers.​

Answer 1

Given:

• The sum of two consecutive numbers is 11.

To Find:

• The number?

Solution:

• Let, the first consecutive no. be X
• Let, the second consecutive no. be X

According to the Question:

$\therefore \: \: \bf{{ \color{BlueViolet}{x + x + 1 = 11}}}$

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$\large{ \longrightarrow \: \: { \tt{2x + 1 = 11}}}$

$\space$

$\large{ \longrightarrow \: \: { \tt{2x = 11 – 1}}}$

$\space$

$\large{ \longrightarrow \: \: { \tt{2x = 10}}}$

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$\large{ \longrightarrow \: \: { \tt{x = \frac{ \cancel{10}}{ \cancel{2} }}}}$

$\space$

$\large{ \longrightarrow \: \: { \boxed{ \colorbox{lavender}{\red{ \bf{x = 5}}}}}}$

Therefore, the required numbers are 5 and 5 + 1 = 6.

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