Question

If one fourth of a number is added to one third of the number, the result is 15 more greater than half of that number. Find that number.​

Answer 1

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

$\green{\tt{\therefore{Required\:number\:is\:=180}}}$

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

$\textsf{Let\:the\:number\:be\:x}$

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$\implies{\frac{x}{4} + \frac{x}{3} = 15 + \frac{x}{2} }\\ \implies{ \frac{x}{4} + \frac{x}{3} - \frac{x}{2} = 15 }\\ \implies{\frac{3x + 4x - 6x}{12} = 15 }\\\implies{ x = 15 \times 12 }\\\implies{ x = 180}$

$\implies\underline{\boxed{Required\:number\:is\:180}}$