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Let x be the nonzero number.
\(10 x^{2} =60x \\ \frac{1}{10x}(10 x^{2} =60x) \\ x=6\)

samuelonum1

Answer:

The number is 6

Step-by-step explanation:

This is a word problem and we must tackle it as such

Let's begin by translating it into mathematical expressions then solve the problem

Firstly

1.Let say the number is x

2.The square of the number is x²

3.Now 10 times the number is 10x²

4. 60 times the number is 60x

Now equating item 3 and 4 as stated by the problem is a gateway to our solution

Therefore

10x²=60x

Dividing both sides by x

We have

10x²/x=60x/x

10x=60

Dividing both sides by 10 we have

x=60/10

x=6

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