Question

Divide 267 into three parts such that first one is 4/5 of the second and the ratio between second and third is 6:7

Answer 1

Step-by-step explanation:

Let the second part be '6x'

So,the third part = 7x

And first part = 4/5 of 6x

= 4/5 × 6x

= 24x/5

$so \: \: \frac{24x}{5} + 6x + 7x = 267$

$= > \frac{24x + 30x + 35x}{5} = 267$

$= > \frac{89x}{5} = 267$

$= > 89x = 267 \times 5$

$= > x = \frac{267 \times 5}{89}$

$= > x = 3 \times 5$

$so \: \: \: x = 15$

$hence \: first \: part = \frac{24 \times 15}{5} = 72$

Second part = 6×15=90

And the third part = 7×15=105