Direction : Study the following information carefully and answer the questions…

Concept

In a 13-position vertical stack (top to bottom), each clue fixes a box either by an exact gap ("N boxes between X and Y" means |posX − posY| = N + 1) or by an adjacency ("just above/below" means consecutive positions). The phrase "equal boxes above and below J" pins the reference box to the exact centre. Toffee counts are the 13 distinct multiples of 13, from 13 to 169, one per box, so fixing a few anchor counts and their adjacencies forces the rest of the layout.

Application — building the stack

1. Equal boxes above and below J means J sits at the centre: position 7 of 13.

2. Green is just below J, so Green is at position 8.

3. Two boxes lie between J and Pink, so Pink is at position 4 or 10; both keep Yellow six positions away (Yellow at 10 or 4 respectively), so this pair is settled later — the rest of the chain is consistent only with Pink at 4 and Yellow at 10.

4. The 13-toffee box is just below Yellow, so it is at position 11.

5. "As many boxes above Red as below the 13-toffee box" gives (posRed − 1) = (13 − 11) = 2, so Red is at position 3.

6. Black is just above Red, so Black is at position 2; Black is just below the 169-toffee box, so 169 is at position 1.

7. The matching-gap clue (boxes between 13 and 52 = boxes between 52 and 104) with the 13-box at 11 makes 52 and 104 symmetric about that span; placing 52 at position 8 (Green's box) and 104 at position 5 satisfies it (two boxes on each side), and these are the only counts that also leave room for the White adjacency.

8. White is just below the 104-toffee box (position 5) and just above the 65-toffee box, which forces White to position 6 and the 65-toffee box to position 7 (J's box) — the only consecutive trio that fits the open positions.

9. Two boxes lie between Blue and Green and Blue does not hold 13 toffees, fixing Blue at position 5 (the 104-toffee box).

Result

Blue is the 104-toffee box and Green is the 52-toffee box, so the sum of their toffees is

104 + 52 = 156.

Cross-check

The five anchored counts sit at distinct positions — 169 at 1, 104 at 5, 65 at 7, 52 at 8, 13 at 11 — and the gap test holds both ways: boxes between 13 (pos 11) and 52 (pos 8) = 2, equal to boxes between 52 (pos 8) and 104 (pos 5) = 2. Every adjacency and gap clue is satisfied with no position used twice, so the Blue and Green counts are forced and the requested sum 156 is unique.

Anchored-position summary (positions whose box or count the clues fix directly; the remaining counts at positions 9, 12 and 13 are not needed for this question):