Mathematical and Physical Journal
for High Schools
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Problem K. 194. (January 2009)

K. 194. The decimal point was shifted one place to the left in a number, and the resulting number was added to \frac{3}{5} of the original number. The result was 1406.3. What was the original number?

(6 pont)

Deadline expired on February 10, 2009.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Először 10-zel osztunk, vagyis a 0,1 részét vesszük, majd az eredeti szám 0,6 részét adjuk hozzá. Vagyis a keresett szám 0,7 része 1406,3. A keresett szám tizedrésze tehát 1406,3:7=200,9, így a keresett szám a 2009.


201 students sent a solution.
6 points:183 students.
3 points:4 students.
2 points:1 student.
1 point:1 student.
0 point:2 students.
Unfair, not evaluated:10 solutionss.

Problems in Mathematics of KöMaL, January 2009