Which number replaces the question mark?

In this style of triangle number puzzle, a single fixed arithmetic rule links the three numbers at the corners of every triangle to the number written in its centre. The correct rule must be identified by testing it against every worked example given, not guessed from just one triangle or one number in isolation.

1. In the first triangle, the two base numbers are 2 and 3, and the top number is 6. Adding the base numbers gives 5, and multiplying that by the top number gives 5 x 6 = 30, exactly the value shown in the centre.

2. In the second triangle, the base numbers are 4 and 1, and the top number is 5. Adding the base numbers gives 5, and multiplying by the top number gives 5 x 5 = 25, again matching the centre value shown.

3. Both worked triangles confirm the same relationship: centre value = (sum of the two base numbers) x (top number).

4. In the third triangle, the base numbers are 6 and 2, and the top number is 4. Adding the base numbers gives 6 + 2 = 8, and multiplying by the top number gives 8 x 4 = 32.

This triangle's base pair (6 and 2) totals 8, not 5 as in the first two triangles, so the earlier total cannot simply be reused here; each triangle's own numbers must be recombined. Checking independently, 8 x 4 = 32, so the missing number is 32.