Question

(x+1) upon 2=(x + 2) upon 3


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Answer 1

Answer:

x+1/2=x+2/3

cross Multiply

3x+2= 2x+4

3x‐2x=4‐2

x=1

Answer is 1

Answer 2

$\implies \dfrac{x + 1}{2 } = \dfrac{x + 2}{3}$

Now cross multiply :-

$\implies(x + 1)3 = {(x + 2)2}$

$\implies3x + 3 = {2x + 4}$

Now bring like terms together :-

$\implies3x - 2x = { 4} - 3$

$\implies \: x = 1$

Answer : 1

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Verification of answer :

We can verify our answer by putting x = 1 in :-

$\implies \dfrac{x + 1}{2 } = \dfrac{x + 2}{3}$

If we get right hand side and left hand side equal then our answer is correct.

Therefore now LHS :-

$\implies \dfrac{x + 1}{2 }$

Put x = 1 in LHS :-

$\implies \dfrac{1+ 1}{2 }$

$\implies \dfrac{2}{2 }$

Cancel out 2 from denominator and numerator :

$\implies 1$

Now we will find RHS :-

$\implies\dfrac{x + 2}{3}$

put x = in RHS :-

$\implies\dfrac{1 + 2}{3}$

$\implies\dfrac{3}{3}$

Cancel out 3 from denominator and numerator :

$\implies \: 1$

Therefore RHS = LHS . So our answer x= 1 is correct.

Hence verified

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