Question

ഒരാളുടെ കൈയ്യിൽ ആടുകളും താറാവുകളും ഉണ്ട് അവയ്ക്കെല്ലാം കൂടി 60 കണ്ണും 86 കാലുകളും ഉണ്ട് എങ്കിൽ കൃഷിക്കാരൻ കയ്യിൽ എത്ര ആളുകളും താറാവുകളും ഉണ്ട്

Answer 1

Question in English:-

A farmer has some goats and ducks. In total they have 60 eyes and 86 legs. Then find the no. of goats and ducks each.

Solution:-

Let the no. of goats be $g$ and that of ducks be $d.$

There are 60 eyes in total. Since each has 2 eyes, we have,

$\longrightarrow 2(g+d)=60$

$\longrightarrow g+d=30\quad\quad\dots(1)$

There are 86 legs in total. A goat has 4 legs and a duck has 2 legs.

Then we have,

$\longrightarrow 4g+2d=86$

$\longrightarrow 2g+d=43$

$\longrightarrow g+g+d=43$

From (1),

$\longrightarrow g+30=43$

$\longrightarrow\underline{\underline{g=13}}$

And from (1),

$\longrightarrow d=30-g$

$\longrightarrow\underline{\underline{d=17}}$

Hence there are 13 goats and 17 ducks.

Answer 2

Answer:

$\huge \bf \: question$

A farmer has some goats and ducks. In total they have 60 eyes and 86 legs. Then find the no. of goats and ducks each.

$\huge \bf {Required \: Answer}$

Let the number of goats be x

And ducks be y

Now,

We are knowing that there are 60 eyes

$2(x + y) = 60$

$x + y = 30 \: \: \: .....1$

Total legs = 86

Now,

Number of legs in 1 goat - 4

Number of legs in duck - 2

Then,

$4x + 2y = 86$

$2x + y = 43$

$x + x + y = 43$

Now,

Fron equation 1

$x + 30 = 43$

$x = 43 - 30 = 13$

From equation 1

$y = 30 - x$

$y = 30 - 13$

$y = 17$

$\huge { \fbox {\green {ducks \: = 17}}}$

$\huge { \fbox {\green {goats\: = 13 }}}$