Question

if p:q=5:7, p-q=-4 then 3p+4q =?

Answer 1

take it
here is the answer

Answer 2

$Given \: p: q = 5 : 7$

$Let \: p = 5x \: --(1), \\q= 7x\:--(2)$

$Given \: p - q= -4$

$\implies 5x - 7x = -4$

$\implies -2x = -4$

$\implies x = \frac{-4}{-2}$

$\implies x = 2$

/* Substitute value of x , in equation (1) and (2), we get */

$p = 5x = 5 \times 2 = 10 \: --(3)$

$q = 7x = 7 \times 2 = 14 \: --(4)$

$Now, Value \: of \: 3p + 4q \\= 3\times 10 + 4 \times 14 \\= 30 + 56 \\= 86$

Therefore.,

$\red { Value \: of \: 3p + 4q } \green {= 86}$

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