Question

13. Four-fifths of a number is greater than three-fourths of the number by 4 . The number is
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Answer 1

Answer:

80

Step-by-step explanation:

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Answer 2

Answer:

The Number is 80

Step-by-step explanation:

Given :

Four-fifths of a number is greater than → three-fourths of the number by 4

To find :

The number

Solution :

Let the number be y

$\bigstar \: {\boxed{\sf{ \frac{4}{5}y = \frac{3}{4}y + 4}}}$

$\tt{\implies} \: \dfrac{4}{5}y = \dfrac{3}{4}y + 4 \\ \\\tt{\implies} \: \dfrac{4}{5}y - \frac{3}{4}y = 4 \\ \\ \tt{\implies} \: \dfrac{16y - 15y}{20} = 4 \\ \\ \tt{\implies} \: \dfrac{y}{20} = 4 \\ \\ \tt{\implies} \: y = 20 \times 4 \\ \\ \tt{\implies} \: y = 80$

Number = 80

$\therefore$ The Number is 80.

$\rule{300}{1.5}$

Verification :

$\tt{\dfrac{4}{5}}$ of 80 = 64

$\tt{\dfrac{3}{4}}$ of 80 = 60

$\tt{\implies} \: 64 = 60 + 4 \\ \\\tt{\implies} \: 64 = 64$