Question

If (5+2/x) : (4+3/x) = 1, find the value of x​

Answer 1

$\huge\underline\mathfrak\blue{Answer-}$

$\huge\sf\boxed{x\:=\:1}$

$\huge\underline\mathfrak\blue{Explanation-}$

( 5 + $\dfrac{2}{x}$ ) : ( 4 + $\dfrac{3}{x}$ ) = 1

Taking the LCM,

$\implies$ ( $\dfrac{5x+2}{x}$ ) : ( $\dfrac{4x+3}{x}$ ) = 1

Cancelling the 'x' of denominator.

$\implies$ ( $5x+2$ ) : ( $4x+3$ ) = 1

$\implies$ $\dfrac{5x+2}{4x+3}$ = 1

$\implies$ 5x + 2 = 4x + 3

$\implies$ 5x - 4x = 3 - 2

$\implies$ x = 1

Therefore, value of x is 1.

Answer 2

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