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balu736 [363]
2 years ago
13

Is it possible to place 158 books on three shelves so that the first shelf has 8 less books than the second and 5 more books tha

n the third shelf?
Mathematics
1 answer:
Lisa [10]2 years ago
5 0
Let
x-----------------> books in <span>the first shelf
</span>y-----------------> books in the second shelf
z-----------------> books in the third shelf
we know that
x+y+z=158-------------> equation (1)
x=y-8---------> y=x+8 ------->  equation (2)
x=z+5--------> z=x-5  --------> equation (3)
<span>
 substitute (2) and (3) in (1)
</span>x+(x+8)+(x-5)=158--------> 3x=155----------> x=51.7


<span>the number of books in the first shelf (x=51.7) is not a whole number
therefore

the answer is
Is not possible to place the amount of 158 books in the amounts indicated in the problem</span>



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