Math, asked by dalbeernegi1978, 1 day ago

four fifths of a number is more than two fifths of the number by two. Find numbers​

Answers

Answered by spbankingandsscserie
5

Answer:

Let us assume the number as x

Then,

 {\frac{4x}{5 }  = \frac{2x}{5}  + 2}

{ \frac{4x}{5} =  \frac{2x + 10}{5}  }

4=2+10

4x - 2x = 10

2x = 10

x =  \frac{10}{2}  = 5

x = 5

Answered by AestheticDude
24

Answer :

Therefore,

  • The number is 5 .

Step-by-step-Explaination :

Step 1 :-

In first Step , Assume the number :-

So, let's Assume

  • Let the Number be X .

Step 2 :-

In second Step we need to understand it nicely ! .

So, let's do it ..

Here , Given is four - fifth of a number is more than two - fifth of the number by two . Means , Four - Fifth of any number is more than Two - fifth of that same number by twice . So , now form equation and solve for X and you with get the numbers .

So , now our next step is ..

Step 3 :-

In the third Step we need to form the equation and solve it !! .

So , the equation thereby formed is

A.T.Q ,

 \rm \:  \dfrac{4x}{5}  =  \dfrac{2x}{5}  + 2

Hence , now this equation is needed to be solved :-

Doing multiply of 5 and 2 and writing in Numerator of R.H.S .

   : :\implies \rm \:  \dfrac{4x}{5}  =  \dfrac{2x}{5}  + 2 \times 5

   ::\implies \rm \:  \dfrac{4x}{5}  =  \dfrac{2x + 10}{5}

Now , can you Notice one thing in both R.H.S and L.H.S side we are having our denominator same that means only we will have to remove them . Therefore ,

   ::\implies \rm \:  {4x}  =  {2x + 10}

Bringing 2x to L.H.S and so, Sign changes from positive to negative.

   ::\implies \rm \:  {4x - 2x}  =  { 10}

   ::\implies \rm \:  { 2x}  =  { 10}

Now , taking 2 to R.H.S and dividing by 10 .

   ::\implies \rm \:  { x}  =   \cancel \dfrac{ 10}{2}

   ::\implies \rm \: \bf  { x}  =  5 \:  \star

Question :

Four fifths of a number is more than two fifths of the number by two. Find numbers

➢ Hence ,

  • The number is 5 .

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