Question

Please let me know the answer

Answer 1

Answer:

A)1/3 is correct option

Answer 2

Answer:

Given :-

$\mapsto \sf \dfrac{3a - 2}{3} + \dfrac{2a + 3}{3} =\: a + \dfrac{7}{6}$

To Find :-

• What is the value of a.

Solution :-

$\longrightarrow \sf\bold{\dfrac{3a - 2}{3} + \dfrac{2a + 3}{2} =\: a + \dfrac{7}{6}}$

$\longrightarrow \sf \dfrac{3a - 2}{3} + \dfrac{2a + 3}{2} - a =\: \dfrac{7}{6}$

$\longrightarrow \sf \dfrac{2(3a - 2) + 3(2a + 3) - 6a}{6} =\: \dfrac{7}{6}$

$\longrightarrow \sf \dfrac{6a - 4 + 6a + 9 - 6a}{6} =\: \dfrac{7}{6}$

$\longrightarrow \sf \dfrac{6a {\cancel{+ 6a}} {\cancel{- 6a}} - 4 + 9}{6} =\: \dfrac{7}{6}$

$\longrightarrow \sf \dfrac{6a - 4 + 9}{6} =\: \dfrac{7}{6}$

$\longrightarrow \sf \dfrac{6a + 5}{6} =\: \dfrac{7}{6}$

By doing cross multiplication we get,

$\longrightarrow \sf 6(6a + 5) =\: 7(6)$

$\longrightarrow \sf 36a + 30 =\: 42$

$\longrightarrow \sf 36a =\: 42 - 30$

$\longrightarrow \sf 36a =\: 12$

$\longrightarrow \sf a =\: \dfrac{\cancel{12}}{\cancel{36}}$

$\longrightarrow \sf a =\: \dfrac{\cancel{6}}{\cancel{18}}$

$\longrightarrow \sf a =\: \dfrac{\cancel{3}}{\cancel{9}}$

$\longrightarrow \sf\bold{\red{a =\: \dfrac{1}{3}}}$

${\small{\bold{\underline{\therefore\: The\: value\: of\: a\: is\: \dfrac{1}{3}\: .}}}}$

Hence, the correct options is option no (A) ⅓.