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What must "F" be?
What does that tell you about "T"?
Are you certain you have considered all the possibilities?
Suggest students start with Spell by Numbers
Suggest students find other word sums that work.
Here are some possibilities that they might consider:
Why are some impossible?
Can they make a word subtraction?
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?
Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.
a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.