Question

On the planet vuv there are two sorts of creatures.The Zions have 3 legs and the zepts have 7 legs. The great planetary explorer Nico counted.52 legs.How many zios and how many zepts could there be

Answer 1

Explanation:

Given

Zions has
`3` legs

And zepts has
`7` legs

Nico counted
`52` legs in total

Therefore total no of legs must be the sum of the legs of Zions and zepts

Suppose there are
`k_1` no of Zions and
`k_2` no of zepts

therefore total no of legs is given by

`\Rightarrow 3* k_1+ 7* k_2=52`

The set of
`k_1` and
`k_2` which satisfy the above equation is

`(k_1,k_2)=(1,7),(8,4),(15,1)`

Thus there are three possible answer