Maths M.C.Q. [1 Marks Each]

$\frac{\text{x}}{2}-\frac{\text{x}}{3}=5$
$\Rightarrow\frac{3\text{x}-2\text{x}}{6}=5$
$\Rightarrow\text{x}=30$

Given
$\Rightarrow\frac{\text{x}}{3} = \frac{5}{4}$
$\Rightarrow $ Apply cross-multiplication, we get
$\Rightarrow x \times 4 = 5 \times 3$
$\Rightarrow 4x = 15$
$\text{x} = \frac{15}{4}$

 Let the number is $x$
Given, the sum of twice a number and $4$ is $18$
$\Rightarrow 2x + 4 = 18$
$\Rightarrow 2x = 18 - 4$
$\Rightarrow 2x = 14$
$\Rightarrow x = \frac{14}{2}$
$\Rightarrow x = 7$

We have, $x = 7$
On multiplying both the sides by $7,$ we get
$7 \times x = 7 \times 7 $
$\Rightarrow 7x = 49$
On adding $(-1)$ both the sides, we get
​​​​​​​$7x + (-1) = 49 + (-1)$
$\Rightarrow 7x - 1 = 49 - 1$
$\Rightarrow 7x - 1 = 48$