Question

if 1/2 is subtract ed from a number and the difference is multiplied by 4 the result is 5 what is the number​

Answer 1

Answer:

Step-by-step explanation:

Given :-

If 1/2 is subtracted from a number and the difference is multiplied by 4 the result is 5.

To Find :-

The Number

Solution :-

Let the number be x

According to the question,

⇒ [x – 1/2] × 4 = 5

⇒ 4x – ½ × 4 = 5

⇒ 4x -2 = 5

⇒ 4x = 5 + 2

⇒ x = 7/4

Hence, the number is 7/4.

Answer 2

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Number = $\bold{\sf{\dfrac{7}{4}}}$

$\bold{\large{\underline{\underline{\sf{Step\:by\:step\:explanation:}}}}}$

GIVEN :

• We have been given that when, $\bold{\dfrac{1}{2}}$ is subtracted from a number and the difference is multiplied by 4 the result obtained is 5.

TO FIND :

• We have to find the number.

SOLUTION :

Let the number be x.

$\bold{\underline{\underline{\sf{\red{As\:per\:the\:first\:given\:condition:}}}}}$

• $\bold{\dfrac{1}{2}}$ is subtracted from the number (x)

Constituting it mathematically,

$\rightarrow$ $\bold{x\:-\:{\dfrac{1}{2}}}$

$\rightarrow$ $\bold{\dfrac{2(x)-1}{1}}$

$\rightarrow$ $\bold{\dfrac{2x-1}{1}}$

•°• Difference = $\bold{\dfrac{2(x)-1}{1}}$

$\bold{\underline{\underline{\sf{\red{As\:per\:the\:second\:given\:condition:}}}}}$

• When the difference is multiplied by 4 the result obtained is 5.

Constituting it mathematically,

$\rightarrow$ $\bold{\dfrac{2x-1}{1}\times\:4\:=\:5}$

$\rightarrow$ $\bold{\dfrac{8x-4}{1}=\:5}$

Cross multiplying,

$\rightarrow$ $\bold{8x-4\:=\:5\times\:2}$

$\rightarrow$ $\bold{8x-4\:=\:10}$

$\rightarrow$ $\bold{8x=\:10+4}$

$\rightarrow$ $\bold{8x=14}$

$\rightarrow$ $\bold{x\:=\:{\dfrac{14}{8}}}$

$\rightarrow$ $\bold{x\:=\:{\dfrac{7}{4}}}$

•°• Number = $\bold{\dfrac{7}{4}}$