### Brain Teasers

# 40+10+10=60

In the equation FORTY+TEN+TEN=SIXTY, each letter represents a different digit. Can you figure out which letter is which digit?

### Hint

Start from the last digits.### Answer

First, 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.

Hide Hint Show Hint Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Follow Braingle!