When 16 is added to the 1/3 of a number, the result is 2 1/3 of the original number. The original number is? - IQ786

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When 16 is added to the 1/3 of a number, the result is 2 1/3 of the original number. The original number is?

When 16 is added to the 1/3 of a number, the result is 2 1/3 of the original number. The original number is?

10

9

8

None of these

Explanation

Let's say the original number is x.

Given:

1/3 of x + 16 = 2 1/3 of x

1/3x + 16 = 7/3x

Multiply both sides by 3:

x + 48 = 7x

48 = 6x

x = 48/6

x = 8