Question

out of a number of saras birds, one fourth of the number are moving about in lots, 1/9 coupled with 1/4 as well as 7 times the square root of the number move on a hill, 56 birds remain in vakula trees.What is the total number of birds?

question no. - 19

pg no, 454

RS agarwal

plz answer me soon.........................

Answer 1

Here is your answer:

Answer 2

Answer:

Total number of birds are 576.

Step-by-step explanation:

Given : Out of a number of saras birds, one fourth of the number are moving about in lots, 1/9 coupled with 1/4 as well as 7 times the square root of the number move on a hill, 56 birds remain in vakula trees.

To find : What is the total number of birds?

Solution :

Let the number of birds be $x^2$

Number of birds moving about lots be $\frac{x^2}{4}$

Number of birds coupled along be $\frac{x^2}{9}$

Number of birds moves on hill be $7\sqrt{x^2}=7x$

Number of birds remaining on tree is 56.

According to question,

$\frac{x^2}{4}+\frac{x^2}{4}+\frac{x^2}{9}+7x+56=x^2$

$\frac{11x^2}{18}+7x+56=x^2$

$7x+56=\frac{7x^2}{18}$

$7x^2-136x-1008=0$

$x^2-18x-114=0$

$x^2-24x+6x-114=0$

$x(x-24)+6(x-24)=0$

$(x-24)(x+6)=0$

$x=24,x=-6$

Reject x=-6.

So, x=24

$x^2=24^2=576$

Therefore, Total number of birds are 576.