Question

The product of two numbers is 10000. if one number is 16 times other,find the number

Answer 1

Let the no. be x
Then 16times of the number =16x
now their product
=
$x \times 16x = 10000 \\ 16 {x}^{2} = 10000 \\ {x}^{2} = \frac{10000}{16} \\ {x}^{2} = (\frac{100}{4}) {}^{2} \\ x = \frac{50}{2} \\ x = 25$
the 2nd number = 16x
25×16
=400

Hope it helps to you.

Answer 2

Hope u like my process
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Let one of the number be x

The other will be 16x

Now by problem,
---------------------------
16x * x = 10000

or, x² = 10000/16

or, x² = 625

or, x = ± 25
--------------------------

So, the number can be either +25 or - 25

So, the two numbers are
either,
+25 and 16×25 = 400

Or,
-25 and 16× - 25 = -400

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