Discussion

Explanation:

Let x be the value of number added.

Given, (6 × 12 + x)/7 = 13

⇒ 72 + x = 91

⇒ x = 19.

Alternately,

Had the number added been same as average (i.e. 12), the average of now 7 numbers would not have changed.

Since average of now 7 numbers increases by 1 ⇒ the total increase in all numbers = 7 × 1 = 7.

This means that the number added was 7 more than the old average.

⇒ x = 12 + 7 = 19.

Hence, 19.

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