Question

Ruhi thinks of a number. If she takes away 5 from 7/2 of the number, the result
is 11/2. Find the number.

Answer 1

Answer:

3

Step-by-step explanation:

Let the number be x.

Ruhi takes away 5 from 7/2 of 'x' and the result is 11/2.

Therefore, 7/2 of x - 5 = 11/2

or, 7x/2 - 5 = 11/2

or, (7x - 10)/2 = 11/2

or, 7x - 10 = (11/2)x2

or, 7x = 11 + 10

or, 7x = 21

or, x = 21/7

or, x = 3

hence, answer is 3

Answer 2

Given:

She takes away 5 from 7/2 of the number, the result  is 11/2.

Solution:

Assume that the number is $x$,

Use the given information and form a equation,

$\[ \Rightarrow x\frac{7}{2} - 5 = \frac{{11}}{2}\]$

$\[ \Rightarrow \frac{{7x}}{2} = \frac{{11}}{2} + 5\]$

$\[ \Rightarrow \frac{{7x}}{2} = \frac{{11 + 10}}{2}\]$

Multiply both sides with 2,

$\[\begin{array}{l} \Rightarrow 7x = 21\\ \Rightarrow x = 3\end{array}\]$

Hence the number is 3.