Question

twice a number is 24 greater than its half. find the number.

Answer 1

let the number be x.

According to Question,

2x=x/2+24

Multiplying by 2 on both sides,we get

4x=x+48

4x-x=48

3x=48

x=16

hence,

required number is 16.

Answer 2

Answer:

16

Step-by-step explanation:

Let the number be x .

Twice of the number x will be 2 multiplied by x .

Twice of the number x = 2 x .

Half of the number x will be half 1/2 multiplied by x .

1/2 × x can be written as x/2 .

It is given that twice the number is 24 greater than half the number .

Hence we write the above as  :

x/2 + 24 = 2 x

⇒ ( x + 48 )/2 = 2 x

⇒ x + 48 = 4 x

⇒ 3 x = 48

⇒ x = 48/3

⇒ x = 16

The number is 16 .

Verification :

16/2 = 8

16×2 = 32

32 - 8 = 24 .

Hence the answer is verified !