Question

if 4/5 (p-2)=68/85 then p=

Answer 1

$\rightarrow \: \: \dfrac{4}{5} (p - 2) = \dfrac{68}{85} \\ \\ \\ \\ \rightarrow \: \: \dfrac{4(p - 2)}{5} = \dfrac{68}{85} \\ \\ \\ \\ \rightarrow \: \: \dfrac{4(p - 2)}{5} \times \dfrac{5}{4} = \dfrac{68}{85} \times \dfrac{5}{4} \\ \\ \\ \\ \rightarrow \: \: p - 2= \dfrac{17}{17}$



$\rightarrow \: \: p - 2 = 1 \\ \\ \rightarrow \: \: p = 3$




Therefore the value of p is 3

Answer 2

Hi there !

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Solution :

$\mathsf{ \implies \: \frac{4}{5}(p - 2) = \frac{68}{85} } \\ \\ \mathsf{ \implies \frac{4(p - 2)}{5} = \frac{68}{85} } \\ \\ \mathsf{{ \rightarrow{\bold{on \: cross \: multiplying..}}}} \\ \\ \mathsf{ \implies \: 85(4p - 8) = 68 \times 5} \\ \\ \mathsf{ \implies340p - 680 = 340} \\ \\ \mathsf{ \implies340p = 340 + 680} \\ \\ \mathsf{ \implies340p = 1020} \\ \\ \mathsf{ \implies \: p = \frac{1020}{340} } \\ \\ \mathsf{ \implies \: p = 3}$

Therefore,

$\therefore \mathsf{ \boxed{ \bold{p = 3}}}$

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Thanks for the question !