When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

A. 4

B. 9

C. 8

D. 2���

Respuesta :

Answer: 9

Step-by-step explanation:

When you multiply 9*9, you get 81 whose sum is 9 (8+1)

Likewise, 9*8=72( 7+2=9)

I am the number '9'

To prove:

On multiplying 9 with different numbers, the sum of the digits of its product is always 9. Let's see;

9 × [tex]2 = 18[/tex]

where [tex](1 + 8 = 9)[/tex]

Now, multiplying it by 3

9 × 3 = 27

where [tex](2 + 7 = 9)[/tex]

Similarly,

9 × [tex]4 = 36[/tex]

where [tex](3 + 6 = 9)[/tex]

9 × [tex]5 = 45[/tex]

where [tex](4 + 5 = 9)[/tex]

9 × [tex]6 = 54[/tex]

where [tex](5 + 4 = 9)[/tex]

9 × [tex]7 = 63[/tex]

where [tex](6 + 3 = 9)[/tex]

Thus, option b i.e. 9 is the correct answer.

Learn more about 'numbers' here:

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