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'Nine, Ten and One' printed from https://nrich.maths.org/
t = 5
We are given that 2
n + e = 8 and
t + e + n =10. Subtracting the first equation from the second gives
t - n = 2.
As
n cannot equal 1, the minimum value of
t is 4 but this gives
n = 2,
e =4 which is not allowed.
If
t = 5 then
n = 3 and
e = 2, which is allowed.
If
t > 5 then
n >3 and
e is not a positive whole number, so 5 is the only possible value of
t.