Question

Mock test by topic

Divide 27 into two parts so that 5 times the first and 11 times the second together equals to 195. Then the ratio of first and second part is

Answer 1

here is ur answer hope it will work

Answer 2

$Given \: Sum \:of \:two \:parts = 27$

$Let \: first \:part = x$

$Second \:part = (27-x)$

/* According to the problem given */

5 times the first and 11 times the second together equals to 195. */

$5x + 11(27-x) = 195$

$\implies 5x + 297 - 11x = 195$

$\implies 297 - 195 = 11x - 5x$

$\implies 102 = 6x$

$\implies \frac{102}{6} = x$

$\implies 17 = x$

$\red { First \:part (x) } \green {= 17}$

$\red { Second \:part (27-x) } \green {=27- 17= 10}$

$Ratio \:of \: first \:part \:and \\second \:part = \frac{17}{10}$

Therefore.,

$\red { Required \: ratio } \green {= 17 : 10 }$

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