Question

if one by two is subtracted from
a number and the difference is multiplied by 4 the result is 5 what is the number​

Answer 1

Answer:

4(x - 1/2)= 5

x - 1/2 = 5/4

x= 5/4+ 1/2

x= 7/4

Answer 2

$\bf{\huge{\underline{\boxed{\rm{\blue{Answer : }}}}}}$

Given:-

• $\bf\large\frac{1}{2}$ is subtracted from a number
• the difference is multiplied by 4 the result is 5

To find :-

• The number

Solution :-

Let the number obtained be x

As per the first condition,

• When $\bf\large\frac{1}{2}$ subtracted from the number,

x - $\bf\large\frac{1}{2}$ --->1

As per the second condition,

• difference is multiplied by 4 the result is 5

$\bf\implies$ 4 ( x - $\bf\large\frac{1}{2}$ )= 5

$\bf\implies$ 4x - 4 $\bf\large\frac{1}{2}$ = 5

$\bf\implies$ 4x - 2 = 5

$\bf\implies$ 4x = 5 + 2

$\bf\implies$ 4x = 7

$\bf\implies$ x = $\bf\large\frac{7}{4}$

•°• the number is $\bf\large\frac{7}{4}$

$\bf{\huge{\underline{\boxed{\tt{\red{Verification}}}}}}$

Number = $\bf\large\frac{7}{4}$

Stated, $\bf\large\frac{1}{2}$ is subtracted from the number, $\bf\large\frac{7}{4}$ and the difference is multiplied by 4 the result is 5.

$\bf\implies$$\bf\large\frac{7}{4}$ - $\bf\large\frac{1}{2}$

$\bf\implies$$\bf\large\frac{ (7)(2) - (4)(1)}{(4)(2)}$

$\bf\implies$$\bf\large\frac{14 - 4}{8}$

$\bf\implies$$\bf\large\frac{10}{8}$

$\bf\implies$$\bf\large\frac{5}{4}$

Now, this difference, $\bf\large\frac{5}{4}$ is multiplied by 4 and the result is 5,

$\bf\implies$$\bf\large\frac{5}{4}$ × 4 = 5

$\bf\implies$ $\bf\large\frac{20}{4}$ = 5

$\bf\implies$ 5 = 5

LHS = RHS.

Hence verified.