Question

If half times of a number is subtracted
from twice of that number the answer we
will get is 10 more than the original num-
ber then that number is
(1) 4
(2) - 20
(3) - 4
(4) 20​

Answer 1

Answer:

Option (4). 20

The original number is 20.

Step-by-step explanation:

Let,

The original number = x

If half times of a number is subtracted from twice of that number

$\longrightarrow \rm{2x- \left( \dfrac{x}{2}\right)}$

The answer we will get is 10 more than the original number

$\longrightarrow \rm{2x- \left( \dfrac{x}{2}\right)= \: x \: +10}$

$\longrightarrow \: \rm{4x \: - \: x \: = \: 2x \: + \: 20}$

$\longrightarrow \: \rm{4x \: - \: x \: - \: 2x \: = \: 20}$

$\longrightarrow \: \rm{2x \: - \: x \: = \: 20}$

$\longrightarrow \: \rm{x \: = \: 20}$

Therefore, the original number is 20.

Answer 2

Given :-

If  half times of a number is subtracted  from twice of that number the answer we  will get is 10 more than the original number

To Find :-

The number

Solution :-

Let the number be y

When half time subtracted from twice

$\bf 2y - \dfrac{y}{2}$

When 10 added

$\bf y +10$

$\sf 2y -\dfrac{y}{2} = y +10$

$\sf \dfrac{4y- y}{2}=y+10$

$\sf \dfrac{3y}{2} = y +10$

$\sf 3y = 2(10+y)$

$\sf 3y = 20 + 2y$

$\sf 3y-2y=20$

$\sf y =20$