Question

one fifth a no. is increased by 5 is equal to four less than one fourth of that no. find the no.​

Answer 1

$\Large\underline{\underline{\sf \green{Given}:}}$

• One fifth of number increased by 5 and its equal to 4 less than ¼

$\Large\underline{\underline{\sf \green{To\:Find}:}}$

• Find the number = ?

$\Large\underline{\underline{\sf \green{Solution}:}}$

Let ,

the number be = x

$\large\underline{\underline{\sf \red{According\:To\: Question}:}}$

$\implies{\sf \dfrac{x}{5}+5=\dfrac{x}{4}-4 }$

$\implies{\sf \dfrac{x+25}{5}=\dfrac{x+16}{4} }$

$\implies{\sf 5(x+16)=4(x+25)}$

$\implies{\sf 5x+80=4x+100 }$

$\implies{\sf 5x-4x=100-80}$

$\implies{\sf x=20 }$

$\Large\underline{\underline{\sf \green{Answer}:}}$

⛬ The number is "20".

Answer 2

${\large\bf{\mid{\overline{\underline{Given:-}}}\mid}}$

• 1/5th of a number is inc. by 5 is equal to 4 less than 1/4th of that number ..

$\Large\underline{\underline{\sf{To\:Find}:}}$

• Find the original Number ?

$\Large\underline{\underline{\sf{Solution}:}}$

Let the number be x .

Than its 1/5th will be = x/5

its 1/4th will be = x/4

A/q, now,

$\red{ \frac{x}{5} + 5 = \frac{x}{4} - 4} \\ \\ \implies \: \green{ \frac{x}{5} - \frac{x}{4} = - 4 - 5 } \\ \\ \implies \ \: \pink{\frac{ - x}{20} = - 9} \\ \\ \implies \: \orange{x = 180}$

Hence, The required Number will be $\red{\bold{</strong><strong>1</strong><strong>8</strong><strong>0</strong><strong>}}$

$\large\underline\textbf{Hope it Helps You.}$