Difficulty: Taxing
Jenny found a strange sum written on a piece of paper:
EGG + EGG = PAGE
Each letter represents a different digit, so P might be 1, for example. Can you work out what the sum really is?
Scroll down or click for a hint, or the answer!
Brainteaser hint 1
Writing it upright might make this easier:
EGG
+EGG
PAGE
Look at the ones column and the tens column. Do you see a difference? This could narrow down your options to solve the problem by using algebra, or trial and error.
Brainteaser hint 2
If you look at just the ones column and the tens column, you’ll see:
GG + GG = GE
Adding GGs together gives two different letters. There must be a 1 being carried!
Brainteaser hint 3
Still stuck? If carrying a 1, G must be one of these options: 5, 6, 7, 8 or 9.
What answers do you get if you calculate each of these options for GG + GG? What options does that leave for E?
Brainteaser answer
If you look at the last two digits of each number, you’ll see:
GG + GG = GE
As mentioned in the hints, there must be a 1 being carried!
Looking at just the tens column:
G + G + 1 = 10 + G
G + G = 9 + G
So, G = 9
Then looking at the ones column:
G + G = 10 + E
9 + 9 = 10 + E
So, E = 8
The final sum is:
899 + 899 = 1798
This reveals the final letters:
P = 1 and A = 7
For more brainteasers and puzzles for kids, subscribe to Double Helix magazine!
Leave a Reply