Question

If 3/4 of a number exceeds its 2/3 by 6 then the number is

Answer 1

let the no x
(3/4)x-(2/3)x=6
x/12=6
x=12*6=72
the no is =72

Answer 2

The number is 72.

Step-by-step explanation:

Let the number be 'x'.

Now Given:

If $\frac{3}{4}$ of a number exceeds its $\frac{2}{3}$ by 6.

Hence We can say that:

$\frac{3}{4}$ multiplied by the number minus $\frac{2}{3}$ multiplied by number is equal to 6.

framing in equation form we get;

$\frac{3}{4}x-\frac{2}{3}x=6$

Taking LCM to make the denominator common we get;

$\frac{3\times3}{4\times3}x-\frac{2\times4}{3\times4}x=6\\\\\frac{9}{12}x-\frac{8}{12}x=6\\\\\frac{9x-8x}{12}=6\\\\x = 6\times12 =72$

Hence The number is 72.