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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 :

Answer:

Step-by-step explanation:

Given

Zions has [tex]3[/tex] legs

And zepts has [tex]7[/tex] legs

Nico counted [tex]52[/tex] legs in total

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

Suppose there are [tex]k_1[/tex] no of Zions and [tex]k_2[/tex] no of zepts

therefore total no of legs is given by

[tex]\Rightarrow 3\times k_1+ 7\times k_2=52[/tex]

The set of [tex]k_1[/tex] and [tex]k_2[/tex] which satisfy the above equation is

[tex](k_1,k_2)=(1,7),(8,4),(15,1)[/tex]

Thus there are three possible answer

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