r10pez10 last edited by
The bottom row are all identical to the baubles underneath.
The two below the 14 are a cube and a triangle that add up to 14.
Only possible values for the cube are 1 and 8
If 1 then the triangle is 13, which isn't a triangle number, so it must be 8 and 6
hungrier last edited by hungrier
The two on the bottom right are:
A triangle x
A square y
such that 8 + 2x + y = 23
math hard; shopping3 and 9
This lets you fill in a bunch of them, up to the one above 23.
CarrieVS last edited by
Filling in all the above solutions, there's only one number left on the bottom row (left hand square) - call it Sl
This makes it fairly easy to work up to the two higher numbers and the higher square and triangle (Sh and T, respectively).Sl + 6 + 14 + 25 + Sh 106 <=> Sl + Sh = 61
Similarly (but not forgetting to add 48 twice):
Sl + T = 57
The only pair of square numbers adding to 61 is 25 and 36
If Sl = 25 => T = 32
If Sl = 36 => T = 21
Since 21 is a triangle number and 32 is not, then:
Sl = 36, Sh = 25, and T = 21
This makes the value of the star 433, if all my arithmetic is correct. The intermediate values are left as an exercise for the reader.
xaade last edited by
@carrievs That's what I got.