Question

A number multiplied by 3/2 and then decreased by 3/4 gives 5/4. The number is________.​

Answer 1

$\huge\underline{\underline{\red{\mathtt{Question:}}}}$

⠀

• A number multiplied by $\dfrac {3}{2}$ and then decreased by $\dfrac {3}{4}$ gives $\dfrac {5}{4}$. Find the number.

⠀

⠀

$\huge\underline{\underline{\pink{\mathtt{Solution:}}}}$

⠀

Let the required number be x.

⠀

$\implies (x \times \dfrac{3}{2} ) - \dfrac{3}{4} = \dfrac{5}{4} \\ \\ \implies \dfrac{3x}{2} - \dfrac{3}{4} = \dfrac{5}{4} \\ \\ \implies \dfrac{3x}{2} = \dfrac{5}{4} + \dfrac{3}{4} \\ \\ \implies \dfrac{3x}{2} = \dfrac{5 + 3}{4} \\ \\\implies \dfrac{3x}{2} = \dfrac{8}{4} \\ \\ \implies 3x \times 4 = 2 \times 8 \\ \\ \implies 12x = 16 \\ \\ \implies x = \dfrac{16}{12} \\ \\ \implies x = \dfrac{4}{3}$

⠀

⠀

$\purple {\rm{\therefore{The\:required\:number\:is\:\dfrac{4}{3}.}}}$