Question

two consecutive natural numbers are such that one fourth of the smaller exceeds one fifth of the greater ​

Answer 1

Question :

two consecutive natural numbers are such that one fourth of the smaller exceeds one fifth of the greater.

Solution :

Let smaller Number ⇒ X

Larger Number ⇒ X+1

⠀⠀⠀⠀⠀⠀According to question,

$\sf \huge \implies \frac{x}{4 } - \frac{x + 1}{5} = 1$

$\huge \sf \implies \frac{5x - 4x - 4}{20} = 1$

⇒ Smallest Number ⇒ 24

⇒ Largest Number

$\huge \tt \implies24 + 1 = 25$

Hence, System Solved.