Question

Pls solve 3/8(4a-5) - 5/12(3a-4)=1/6

Answer 1

$Given \: simple \: equation : \\\frac{3}{8}(4a-5) - \frac{5}{12}(3a-4) = \frac{1}{6}$

$LCM \: of \: 8, \:12 \: and \: 6 = 24$

/* Multiply bothsides of equation by 24 , we get */

$\implies \frac{24\times 3}{8}(4a-5) - \frac{24\times 5}{12}(3a-4) = \frac{24\times 1}{6}$

$\implies 9(4a-5) - 10(3a-4) = 4$

$\implies 36a - 45 - 30a + 40 = 4$

$\implies 6a - 5 = 4$

$\implies 6a = 4 + 5$

$\implies a = \frac{9}{6}$

$\implies a = \frac{3}{2}$

Therefore.,

$\red { Value \: of \: a } \green { = \frac{3}{2}}$

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