Question

the sum of half of a number and 43 is 2 into 1 by 4 of the number find the number ​

Answer 1

Answer:

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

2

x

+49=2

4

1

x

⇒ \dfrac{x}{2}+49=\dfrac{9}{4}x

2

x

+49=

4

9

x

⇒ \dfrac{9}{4}x-\dfrac{x}{2}=49

4

9

x−

2

x

=49

⇒ \dfrac{9x-2x}{4}=49

4

9x−2x

=49

⇒ \dfrac{7}{4}x=49

4

7

x=49

⇒ x=49\times \dfrac{4}{7}=7\times 4x=49×

7

4

=7×4

⇒ x = 28

Answer 2

Answer:

$let \: the \: no. \: be \: x \\ \frac{x}{2} + 43 = 2 \times \frac{1}{4} \\ \frac{x}{2} = \frac{1}{2} - 43 \\ x = 2( \frac{1 - 86}{2} ) =2 \times \frac{ - 85}{2} \\ = - 85 \\ verification \\ \frac{ - 85}{2} + 43 = 2 \times \frac{1}{4} \\ \frac{ - 85 + 86}{2} = \frac{1}{2} \\ \frac{1}{2} = \frac{1}{2} \\ hence \: verified$