Question

Four fifth of number is more than three fourth of the number by 4 find the number

Answer 1

$\huge{\blue{\boxed{\green{\boxed{\orange{\underline{\bf{\mathfrak{\red{HELLO}}}}}}}}}}$

$\huge\star\underline\mathbb\purple{ANSWER}$

Let the no. be x

according to the question,

Let's form an equation,

4x/5 is more 4

3x/4

a. t. q

4x/5=3x/4+4

4x/5-3x/4=4

16x/20-15x/20=4

x=4×20

x=80

❤

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Number=80}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green {\underline \bold{Given : }} \\ : \implies \text{Four \: fifth \: of \: a \: number \: is \: more }\\ \text{than \: three \: fourth \: of \: a \: number \: by \: 4} \\ \\ \red{\underline \bold{To \: Find : }} \\ : \implies \text{Number =?}$

• According to given question :

$\text{Let \: number \: be \: p : } \\ \\ \bold{according \: to \: question}\\ :\implies \frac{4}{5} p - \frac{3}{4} p = 4 \\ \\ \circ \: \: \text{Taking \: lcm \: of \: 4 \: and \: 5 = 20} \\ \\ : \implies \frac{16p - 15p}{20} =4 \\ \\ : \implies p= 4 \times 20 \\ \\ \green{ : \implies \text{x = 80}} \\ \\ \red{\bold{Verification : }} \\ : \implies \frac{4}{5}p - \frac{3}{4} p \\ \\ \bold{\circ \: \: Putting \: value \: of \: p}\\ \\ : \implies \frac{4}{5} \times 80 - \frac{3}{4} \times 80 \\ \\ : \implies 4 \times 16 - 3 \times 20 \\ \\ : \implies 64 - 60 \\ \\ \green{: \implies 4} \\ \: \: \: \: \: \: \: \: \: \green{\text{Verified}}$