Question

2m/3+Зm/4=17

find the value of m and verify it

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Answer 1

Answer:

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Answer 2

꧁ Solution ꧂

$\\ {\bf{\large{\implies{ \frac{2m}{ 3 } + \frac{3m}{4} = 17 }}}}$

$\\ {\sf{\large{\implies{ \frac{2m \times 4 + 3m \times 3}{12} = 17 }}}}$

$\\ {\sf{\large{\implies{ {8m + 9m} = 17 \times 12}}}}$

$\\ {\sf{\large{\implies{ {17m} = 204}}}}$

$\\ {\sf{\large{\implies{ {m} = \frac{204}{17}}}}}$

$\underline{ \boxed{ \red {\sf{\huge{\implies{ {m} = 12}}}}}}$

VERIFICATION:-

$\\ {\sf{{\implies{ \frac{2(12)}{ 3 } + \frac{3(12)}{4} = 17 }}}}$

$\\ {\sf{{\implies{ \frac{24}{ 3 } + \frac{36}{4} = 17 }}}}$

$\\ {\sf{{\implies{ \frac{24 \times 4 + 36 \times 3}{ 12 } = 17 }}}}$

$\\ {\sf{{\implies{ \frac{96 + 108}{ 12 } = 17 }}}}$

$\\ {\sf{{\implies{ \frac{204}{ 12 } = 17 }}}}$

$\\ \boxed {\sf{{\implies{ 17 = 17}}}}$

LHS = RHS

So, our answer 12 is correct answer.