Question

if 4, 2x-3 and 3x-4 are in AP then the value of x is ​

Answer 1

The difference remains the same so, (2x-3)-4= (3x-4)-(2x-3)

2x-7= x-1

X=6

Hope this helps

#BAL

Answer 2

$\huge{ \underline {\overline{ \mid{ \mathfrak{ \red{ \: SOLUTION \: } \mid}}}}}$

$\bold {\underline{ \huge{ \: \: Given \: : }}}$

$\bold{4 , 2x-3 \: \: and \: \: 3x-4 \: \: are \: \: in \: \: AP}</p><p>$

$\bold{ \underline{ \huge{ \: \: To \: \: find \: : }}}$

$\: \: \: \: \: \: \: \: \bold{ \: \: The \: \: value \: \: of \: \: X}$

$\bold{ \underline{ \huge{ \: \: A.T.Q. \: \: }}}$

$\bold{ \therefore \: \:( 2x - 3) - 4 = (3x - 4) - (2x - 3)} \\ \\ \bold{ = > 2x - 3 - 4 = 3x - 4 - 2x + 3} \\ \\ \bold{ = > 2x - 7 = x - 1} \\ \\ \bold{ = > 2x - x = - 1 + 7} \\ \\ \: \: \: \: \: \: \: \: \bold{ \therefore \: \: \underline{ \: \: x = 6 \: \: }}$