Question

Divide 1400 into three parts such that the first part is 2/3 of the second part and the ratio between the second and third part is 4 : 5​

Answer 1

$\huge\color{Red}\boxed{\colorbox{black}{Answer♡}}$

$\huge\tt{\purple{Given:-}}$

$1400 \: is\: divided\: into\: three\: parts\: \\ \\ 1st\: part\: is\: \frac{2}{3} \\ \\ 2nd\: part\: and\: the\: ratio\: between\: the\: 2nd\: and\: 3rd\: part\: is\: 4:5$

$\huge\tt{\pink{Solution:-}}$

$Let\: the\: common\: multiples\: of\: these\: ratios\: be\: = x \\ \\ The\: ratio\: of\: 2nd\: and\: 3rd\: part\: = \: 4:5 \\ \\ Therefore, \\\\ 2nd\: part = 4x \\\\ 3rd\: part = 5x \\\\ From\: the\: given\: condition\: \\\\ 1st \: part = \frac{2}{3} \\ \\ So,\: 1st\: part = \frac{2}{3} \times 4x \\ \\ \implies \frac{8x}{3}$

$From\: 2nd\: condition \\\\ 1st+2nd+3rd = 1400 \\\\ \implies \frac{8x}{3} + 4x + 5x = 1400 \\ \\ On\: solving\: the\: above\: equation\: we\: get, \\\\ \implies 8x+12x+15x= 4200 \\\\ \implies 35x = 4200 \\\\ \implies x = 120 \\\\ 1st \: part = \frac{8x}{3} = 320 \\\\ 2nd \: part = 480 \\\\ 3rd \: part = 5x = 600$

$\\ \\ \\ \huge \green{So \: the \: different \: parts \: are \: 320,480\: and \: 600}$

Answer 2

Answer:

The three parts of the number 1400 where the 1st part is 2/3 of 2nd part and the ratio between the 2nd and 3rd part is 4:5 are 320, 480, and 600.

hopes it will help you

.xD