Cryptograms ♥ 1
Logic
Level
3
.
Find the difference between . Provided P,Q,R,S,T are distinct real numbers.
The answer is 65934.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
We have at the unit digit, T*4 = xP, so P is even. But at the ten thousand digit, P*4(+)=T, so P = 2.
P=2 so T could be 8,9; but T*4 = xP so T = 8. That leads to Q*4 < 10, and because P is already 2 so Q = 1.
We have S*4+3 = x1, so S = 2,7; but P is already 2 so S = 7.
And last, we have R*4+3 = 3R, so R = 9.
Therefore PQRST = 21978