Solve the question 8 x-19-18-4 x-3-9-29-7 x-12-5 x

8x+19/18=4x+3/9 +29 7x/12 5x 8x+19/18=4x+3/9 =29 7x/12 5x =8x̸+19 8x̸+6/18=13/18 cross multiply 18(29 7x)=13(12 5x) 522 126x=156 65x 522 156=12x 65x 366 ...

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Quantitative Aptitude

Solving Inequalities

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Question

Solve the question
${\frac{(8 x + 19)}{18}} = {\frac{(4 x + 3)}{9}} + {\frac{(29 - 7 x)}{(12 - 5 x)}}$

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Solution

$\frac{8 x + 19}{18} = \frac{4 x + 3}{9} + \frac{29 - 7 x}{12 - 5 x} \frac{8 x + 19}{18} = \frac{4 x + 3}{9} = \frac{29 - 7 x}{12 - 5 x} = \frac{8 x/ + 19 - 8 x/ + 6}{18} = \frac{13}{18}$
cross multiply
$18 (29 - 7 x) = 13 (12 - 5 x) 522 - 126 x = 156 - 65 x 522 - 156 = 12 x - 65 x 366 = 61 x ∴ x = \frac{366}{61} = 6$

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Solve the question {(8x+19)18}={(4x+3)9}+{(29−7x)(12−5x)}

8x+1918=4x+39+29−7x12−5x8x+1918=4x+39=29−7x12−5x=8x/+19−8x/+618=1318 cross multiply 18(29−7x)=13(12−5x)522−126x=156−65x522−156=12x−65x366=61x∴ x=36661=6

Solve the question
${\frac{(8 x + 19)}{18}} = {\frac{(4 x + 3)}{9}} + {\frac{(29 - 7 x)}{(12 - 5 x)}}$