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UKMT Junior Kangaroo, 2019

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a $2 \times 4$ table in which the numbers in each column except the first column are the sum and the difference of the numbers in the previous column.

Carl completes a $2 \times 7$ table in the same way and obtains the numbers 96 and 64 in the final column. What is the sum of the numbers in the first column of Carl's table?

(A) $24$ (B) $20$ (C) $12$ (D) $10$ (E) $8$

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