Question

Eleven added to twice a number gives 45 what is the number

Answer 1

$\mathbb{\bold{\underline{ANSWER}}}$

$\fbox{\textsf{17}}$

$\mathbb{\bold{\underline{EXPLANATION:}}}$

$\star \to \textsf{11 added to twice a number gives 45}$

$\colon \to \textbf{To create an equation :}$

$\to \textsf{Let the number be \textbf{'n'}}$

$\star \textsf{ Twice a number \to 2 x n = \textbf{2n}}$

$\star \textsf{ 11 added to twice a number \to 11 + (2 x n) = \textbf{11 + 2n}}$

$\to \textsf{Since 11 added to twice a number gives 45, so, we have the equation :}$

$\star \star \textbf{ 11 + 2n = 45}$

$\colon \to \textbf{To solve the equation :}$

$\star \textsf{ 11 + 2n = 45}$

$\to \textsf{2n = 45 - 11}$

$\to \textsf{2n = 34}$

$\to \textsf{n = 34/2}$

$\to \textsf{n = 17}$

$\textbf{\therefore The number is 17}$

Answer 2

Answer:

Let the required number be x.

Given : twice the number +11 = 45

$\: 2x + 11 = 45 \\ 2x = 45 - 11 \\ 2x = 34 \\ x = \frac{34}{2} = 17$

✅ Hence,the required number is 17.