Difference between revisions of "1973 AHSME Problems/Problem 6"
Rockmanex3 (talk | contribs) m (→Solutions) |
Made in 2016 (talk | contribs) (→See Also) |
||
Line 18: | Line 18: | ||
==See Also== | ==See Also== | ||
− | {{AHSME | + | {{AHSME 30p box|year=1973|num-b=5|num-a=7}} |
[[Category:Introductory Number Theory Problems]] | [[Category:Introductory Number Theory Problems]] |
Latest revision as of 13:57, 20 February 2020
Problem
If 554 is the base representation of the square of the number whose base
representation is 24, then
, when written in base 10, equals
Solution
Write out the numbers using the definition of base numbers.
Since
, we can write an equation.
Since base numbers must be positive,
in base 10 equals
.
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 | ||
All AHSME Problems and Solutions |