Question

The sum of half of a number and 49 is 2 1/4 of the number. Find the number.

Answer 1

check the attachment

Answer 2

The value of x = 28.

Step-by-step explanation:

Let the number = x

To find, the number = ?

According to question,

$\dfrac{x}{2}+49=2\dfrac{1}{4}x$

⇒ $\dfrac{x}{2}+49=\dfrac{9}{4}x$

⇒ $\dfrac{9}{4}x-\dfrac{x}{2}=49$

⇒ $\dfrac{9x-2x}{4}=49$

⇒ $\dfrac{7}{4}x=49$

⇒ $x=49\times \dfrac{4}{7}=7\times 4$

⇒ x = 28

Hence, the value of x = 28.