Question

Out of a heap of pure lotus flowers, a third part, a fifth and a sixth were offered respectively to the gods siva, Vishnu, and then Sun; a quarter of the original heap was presented to bhavani. The remaining six lotuses were given to the venerable preceptor. Tell quickly the whole number of lotus flower

Answer 1

Answer:

120

Step-by-step explanation:

Let the total lotus were X

Lotus offered to Lord Shiva = X/3

Lotus offered to Lord Vishnu = X/5

Lotus offered to Sun = X/6

Lotus offered to Bhavani = X/4

Lotus given to preceptor = 6

Therefore,

$\frac{X}{3}+\frac{X}{5}+\frac{X}{6}+\frac{X}{4}+6=X$

$\implies \frac{20X+12X+10X+15X}{60}+6=X$

$\implies \frac{57X}{60}+6=X$

$\implies X-\frac{57X}{60}=6$

$\implies \frac{60X-57X}{60}=6$

$\implies \frac{3X}{60}=6$

$\implies \frac{X}{20}=6$

$\implies X=6\times20$

$\implies X=120$

Thus there are 120 Lotus flowers.

Hope this is helpful.