Question

4/3 of a number is more than 3/4 of its number by 1 . find the number​

Answer 1

Question : -

4/3 of a number is more than 3/4 of its number by 1 . find the number .

Given : -

• 4/3 of a no. is more than 3/4 of its no. by 1

To Find : -

• We have to find the number .

To Assume : -

• Let the no. be x

So Solution goes from here :

According to question 4/3 of a number is equal to :

`\longmapsto \: (4)/(3) * x`

Which means ,

`\longmapsto \: (4x)/(3)`

According to question 3/4 of a number is equal to :

`\longmapsto \: (3)/(4) * x`

Which means ,

`\longmapsto \: (3x)/(4)`

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

`\longmapsto \: (4x)/(3) = (3x)/(4) + 1`

Now , transposing 3x/4 to left hand side :

`\longmapsto (4x)/(3) - (3x)/(4) = 1`

Now , taking L.C.M :

`\longmapsto \: (4(4x) - 3(3x))/(12) = 1`

Now by calculating :

`\longmapsto \: (16x - 9x)/(12) = 1`

Now Subtracting 16x with 9x and transposing 12 to right hand side :

`\longmapsto \: 7x = 12`

So ,

`\longmapsto \: \boxed{ \bold{ x = (12)/(7) }}`

• Therefore , the number is 12/7 .

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