Question

On a peepal tree there are thirteen branches and on each branch there lived fourteen birds. If twice as many of the parrots were the crows and twice as many of the crows were the sparrows, then the number of

sparrows$=\underline{}.$

Parrots$=\underline{}.$

crows$=\underline{}.$

Answer 1

Given,

Number of branches peepal tree has $=$$13$

Number of birds living on each branch $=$$14$

So, the total number of birds living in the tree $=$$13\times 14$

$=$$182$

Step:$1$

Now, consider that the number of parrots is $x$

The number of crows is $y$

The number of sparrows is $z$

According to the question, twice as many parrots were crows

$2x=y$

Similarly, twice as many crows were sparrows.

$2y=z$

Step:$2$

Now, according to the given condition,

$$\begin{gathered} x+y+z=182 \\ x+2x+2y=182\left(\therefore y=2x,z=2y\right) \\ x+2x+2\times \left(2x\right)=182\left(\therefore y=2x\right) \\ x+2x+4x=182 \\ 7x=182 \\ x=\frac{182}{7} \\ x=\frac{26}{1} \\ x=26 \end{gathered}$$

Step:$3$

The number of parrots $\left(x\right)$$=$$26$

The number of crows$\left(y\right)$$=$$2x$

$=2\times 26\left(\therefore x=26\right)$

The number of crows$\left(y\right)$$=$$52$

The number of sparrows$\left(z\right)$$=$$2y$

$=2\times 52\left(\therefore y=52\right)$

The number of sparrows $\left(z\right)$$=$$104$

Therefore, the number of sparrows $\left(z\right)$$=$$104$

The number of parrots $\left(x\right)$$=$$26$

The number of crows$\left(y\right)$$=$$52$