Question

If 2x-1,2x-3 and x+4 are A.P then find X.
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Answer 1

Corrected Question :

• If x, 2x + 1 and 14 are in A.P, then the value of x is -

A N S W E R :

• The value of x is 4

Given :

• If 2x -1, 2x - 3 and x + 4 are A .P

To find :

• Find the value of x ?

Solution :

:$\implies$${\sf{2x\:+\:1\:-\:x\:=\:14\:-\; \bigg(2x\:+\:1\bigg)}}$

$~~~~~$:$\implies$${\sf{x\:+\:1\;=\:14\;-\;2x\;-\;1}}$

$~~~~~~~~~~$:$\implies$${\sf{3x\:=\:14\:-1\:-\:1}}$

$~~~~~~~~~~~~~~~$:$\implies$${\sf{3x\:=\:12}}$

$~~~~~~~~~~~~~~~~~~~~$:$\implies$${\sf{x\;=\:{\cancel{\dfrac{12}{3}}}}}$

$~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\frak{\pink{x\:=\:4}}}}}$★

Hence,

• ${\underline{\textsf{Tha\: value\: of\; \textbf{x}\; is\;\textbf{4}.}}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

$~~~~~~~~~~~~~~$ _______________________

Answer 2

Answer:

Given :

• If 2x -1, 2x - 3 and x + 4 are A .P

To find :

• Find the value of x

Solution :

⟹ 2x+1−x=14−(2x+1)

⟹ x+1=14−2x−1

⟹ 3x=14−1−1

⟹ 3x= 12

⟹ x = 12/3

x = 4

★Hence, The value of x is 4