Question

$\frac{4}{5}$ of a number is greater than$\frac{3}{4}th$ of the number by 5 find the number

Answer 1

$\LARGE{ \underline{\underline{ \pink{ \bf{ANSWER}}}}}$

The number is 100

Step-by-step explanation:

》Given 《

4/5 of a number is greater than 3/4th of the number by 5.

Let the number be x...'is' means 'equal to (=)'

Equation

4/5x = 3/4x + 5

4/5x - 3/4x = 5

LCM = 20

4/5x = 4 × 4/5×4 = 16/20x

3/4x = (3 × 5)/(4 × 5) = 15/20x

16/20x - 15/20x = 1/20x = 5

x = 5 × 20 = 100

x = 100

So, the number = 100

Checking

To check our answer we have to substitute the value of x to the equation

4/5x = 3/4x + 5

x = 100

4/5 × 100 = 3/4 × 100 + 5

4 × 20 = 3 × 25 + 5

80 = 80

So, Answer is Correct ✔✔

More Information

'Is' means '='

'of' means multiplication

Answer 2

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Explanation:-

Given :

4/5 of a number is greater than 3/4 of the number by 5.

To Find :-

The number :-

Let the number be 'x'

According to the question:-

$= > \frac{4}{5} \times x > \frac{3}{4} x+ 5$

We use equal to sign to maintain L.H.S AND R.H.S

$= > \frac{4}{5} x = \frac{3}{4} x + 5$

$= > \frac{4}{5} x - \frac{3}{4} x = 5$

$= > \frac{16 - 15}{20} x = 5$

$= > \frac{1}{20} x = 5$

$\bold{\red{x = 20 \times 5 = 100}}$

Hence,the number is 100

$\huge\bold{Check :-}$

$= > \frac{4}{5} \times 100 = 4 \times 20 = 80$

$= > \frac{3}{4} \times 100 = 3 \times 25 = 75$

=>4/5 of a number is greater than 3/4th of a number by 5

=>80 is greater than 75 by 5

Proved ✓