Question

45 of a number is 10 more than two third of the number find the number​

Answer 1

Solution :

Let the required number be x

As Per Given in the Question

45 * x = 10 + 2/3 *x

⇒ 45x - 2/3x = 10

⇒ (45x * 3 -2x)/(3) = 10

⇒$\frac{2x}{15}  = 10$

⇒  (133x)/(3) = 10

⇒133x = 30

⇒ x = 30/133

Therefore , Our Required answer is 30/133 or 0.225..

Answer 2

$\red\star\mathfrak\pink{\large{\underline{\underline{Answer:-}}}}$

$\green\star\mathfrak\purple{\large{\underline{\underline{Let\:the\:number\:be\:x}}}}$

$\bold{45 \times x = 10 + \frac{2}{3} \times x}$

$\implies \bold{45x = 10 + \frac{2}{3} x{}^{} }$

$\implies \bold{45x - \frac{2}{3}x = 10 }$

$\implies \bold{ \frac{45x \times 3 - 2x}{3} = 10}$

$\implies \bold{ \frac{135x - 2x}{3} = 10 }$

$\implies \bold{ \frac{133x}{3} = 10 }$

$\implies \bold{133x = 30}$

$\implies \bold \red{x = \frac{30}{100} }$

$\mathfrak\orange{\large{\underline{\underline{Therefore,\:the\:number\:is \: \bold \red{ \frac{30}{100} }\:}}}}$