Question

if a number of whicg the half is greater than 1/5 th of the number by 15 then the number is​

Answer 1

let the number be x.

so, by given condition

$\frac{x}{2} = \frac{x}{5} + 15 \\ \\ \implies \frac{x}{2} - \frac{x}{5} = 15 \\ \\ \implies \frac{3x}{10} = 15 \\ \\ \implies \: x = \frac{150}{3} \\ \\ \implies \:\underline{\boxed{\sf{ x = 50}}} \\ \\ verification \\ \frac{x}{2} = \frac{x}{5} + 15 \\ \\ substitute(x = 50)\\ \\ \implies \frac{50}{2} = \frac{50}{5} + 15 \\ \\ \implies25 = 10 + 15 \\ \\ \implies25 = 25 \\ \\ \therefore \: hence \: the \: number \: is \: 50$