40+10+10=60Math brain teasers require computations to solve.
In the equation FORTY+TEN+TEN=SIXTY, each letter represents a different digit. Can you figure out which letter is which digit?
HintStart from the last digits.
AnswerFirst, there are ten different letters in this equation: E, F, I, N, O, R, S, T, X, Y. Therefore, every digit from 0 to 9 is used.
Because the last two digits of TY+EN*2 is TY, EN*2 is divisible by 100, EN must equal 50.
We get FOR+T*2+1=SIX.
Since T*2+1<20, SI is at most FO+2. We must have S=F+1, and since the digit 0 is occupied by N, O must equal 9 and I must equal 1. Hence SI=FO+2.
We get R+T*2+1=20+X, or R=X+(19-T*2). The remaining digits are 2, 3, 4, 6, 7, 8.
If T=6, Then R=X+7, which is impossible for these numbers. And T can't be lower.
If T=7, then R=X+5, and we can only have R=8, X=3. This leaves 2, 4, 6, from which we can't choose S=F+1.
If T=8, then R=X+3, we can have R=6, X=3, or R=7, X=4.
If R=6, X=3, the remaining digits are 2, 4, 7, and again we can't choose S=F+1.
If R=7, X=4, the remaining digits are 2, 3, 6, where 3=2+1. Hence S=3, F=2.
Finally, the remaining digit 6 is for Y.
Therefore, the equation is 29786+850+850=31486.
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