Question

if two thirds of rational number exceeds its three fifths by 7/4, find the rational number?

Answer 1

Let the number be a

2/3 of number = 2a/3

3/5 of number = 3a/5

According to question,

2a/3 - 3a/5 = 7/4

=> (10a - 9a) /15 = 7 / 4

=> a/15 = 7 / 4

=> a = 105 / 4

Required number = 105 / 4

Answer 2

$\textbf{Answer}$

Suppose the required rational number is x

=> $\textbf{Two third of x = (2/3)x}$

=> $\textbf{three fifth of x = (3/5)x}$

$\textbf{According to the question,}$

$\textbf{(2/3)x - (3/5)x = 7/4}$

=> x(2/3 - 3/5) = 7/4

=> x(10 - 9)/15 = 7/4

=> x/15 = 7/4

=> x = (7×15)/4

=> x = 105/4

$\textbf{Required fraction is 105/4}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$