self Maths Puzzle

Use all the nine numerals from 1 to 9 once and form four numbers (A, B, C, D) such that divisions A/B and C/D produce different but closest results. (ie. Absolute value of A/B-C/D should be minimum.)

Example: If the numbers were 12/789, 6/345, your answer should read 6,12,345,789

Give value of A,B,C,D

Read Solution (Total 2)

21/854 and
9/367
12 years agoHelpfull: Yes(2) No(0)

21/854= 0.02459
and
9/367 =0.024523

seems correct.

Hope someone can improve it further.
12 years agoHelpfull: Yes(0) No(0)

self Other Question

All of the numerals in a number are different than each other. For all the neighboring numeral pairs in this number, the number formed by these neighboring numerals or its consecutive is a prime number. What is the largest number satisfying these conditions?

Example: 1029 Pairs: 10 (11 is prime); 02 (both 2 and 3 are primes) and 29 (29 is prime).
Note: For the number x, its consecutive is x+1. suppose we are given three relations.
a+b+c=X
ab+bc+ca=Y
abc=Z
X,Y,Z are known, how can we find a,b,c