Question

Two-thirds of a number is 5 less than one half of it, the number is -----

Answer 1

Step-by-step explanation:

Let the number be x

According to question,

2/3x = 1/2x + 5

2/3x - 1/2x = 5

1/6x = 5

So, x = 5 * 6

x = 30

The number is 30.

Answer 2

$\rule{200}3$

$\color{red}\huge{\underline{\underline{\mathfrak{Question:-}}}}$

${\red{\bold{\text{ Two-thirds of a number is 5 less than one half of it, the number is ? }}}}$

$\rule{200}3$

$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

${\blue{\bold{\text{ The number is -30 }}}}$

$\rule{200}3$

$\color{orange}\huge{\underline{\underline{\mathfrak{Solution:-}}}}$

${\blue{\bold{\text{ Let the number be x }}}}$

Now,

${\blue{\bold{\text{ According to question}}}}$

$\frac{2x}{3}$=$\frac{x}{2}$-5

$\frac{2x}{3}$-$\frac{x}{2}$=-5

LCM if 2 and 3 = 6

Now,

$\frac{4x-3x}{6}$ = -5

$\frac{x}{6}$ =-5

${\blue{\bold{\text{ By cross multiply }}}}$

x= 6×(-5)

x = -30

$\rule{200}3$

Hope it helps