u-can-do

EQUATE-times walkthrough

by G R Burgin


The Puzzle

This puzzle is an example of an "Equate-times" puzzle, where there are 9 unknowns. Letters have been inserted in the original puzzle example, so that the unknown values can be determined.

EQUATE-times Maths Puzzle

The Solution

We can write the following 8 equations for this puzzle.

EQUATE-times Maths Puzzle solution part 1

EQUATE-times Maths Puzzle solution part 2

Note: G, H & I can only = the values 4, 7 or 9. Therefore; A, B, C, D, E or F can not = 4, 7 or 9 and after futher evaluation of the equations above; A, B & C can only be = to 3, 5 or 8 and D, E & F can only be = to 1, 2 or 6.

EQUATE-times Maths Puzzle solution part 3

Comparing all possible combinations of A, D & G, it must be that A = 5, D = 2 & G = 9.

After further evaluation of the equations above:

EQUATE-times Maths Puzzle solution part 4

Therefore, comparing all possible combinations of B, E & H, it must be that B = 8, E = 6 & H = 7 and C = 3, F = 1 & I = 4.

Checking the final answers in the remaining 3 equations:

EQUATE-times Maths Puzzle solution part 4
EQUATE-times Maths Puzzle solution part 5

The Puzzle is solved!

The Solution for the Equate-times puzzle

Contact: mathspuzzles@gordonburgin.com