Question

x-1/3-x-2/4=1.........​

Answer 1

Answer:

$\huge \frac{x - 1}{3} - \frac{x - 2}{4} = 1$

Taking L. C. M of 3 and 4

$\huge \frac{4(x - 1) - 3(x - 2)}{12} = 1$

$\huge \frac{4x - 4 - 3x + 6}{12} = 1$

$\huge \frac{x + 2}{12} = 1$

$\huge \: x + 2 = 12 \times 1$

$\huge \: x + 2 = 12$

$\huge \: x = 12 - 2$

$\huge \: x = 10$

Verification,

L. H. S

$= \frac{x - 1}{3} - \frac{x - 2}{4}$

$= \frac{10 - 1}{3} - \frac{10 - 2}{4}$

$= \frac{9}{3} - \frac{8}{2}$

$= 3 - 2$

$= 1$

R. H. S

Therefore L. H. S =R. H. S

Verified

Answer 2

Answer:

x - 1 - x - 2. = 1

3. 4

$(x - 1) - (x - 2) = 1 \times 4 \times 3 \\ 2x - 3 = 12 \\ 2x = 12 + 3 \\ 2x =15$

so, x = 15/2

=7.5