Question

find a no. whose two third multiplied by its one sixth becomes 225

Answer 1

let the number be x

so
( 2/3)x×(1/6)x=225
2/18 × x^2= 225
x^2=225×6
x^2=1350
x=36.74

Answer 2

$\underline{\bold{Solution:-}}$

Let the number be x.

$Two - third \: of \: the \: number = \frac{2x}{3} \\ \\ One - sixth \: of \: the \: number = \frac{x}{6}$

$\bold{According\: to \: question}$

Two third multiplied by its one sixth = 225

$\frac{2x}{3} \times \frac{x}{6} = 225 \\ \\ \frac{ {x}^{2} }{9} = 225 \\ \\ {x}^{2} = 225 \times 9$

${x}^{2} = 2025 \\ \\ x = \sqrt{2025} \\ \\ x = 45$

So, 45 is the number whose two third multiplied by its one sixth becomes 225.