SOLUTION: i am a 4-digit number. all of my digits are even numbers. the sum of my ones and tens digits is 8. my hundreds and ones digits are both 4. the sum of my digits is 18. what number a

Algebra ->  Average -> SOLUTION: i am a 4-digit number. all of my digits are even numbers. the sum of my ones and tens digits is 8. my hundreds and ones digits are both 4. the sum of my digits is 18. what number a      Log On


   



Question 503211: i am a 4-digit number. all of my digits are even numbers. the sum of my ones and tens digits is 8. my hundreds and ones digits are both 4. the sum of my digits is 18. what number am i?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the digits be a,b,c, and d in descending order
so that d is the units digit
given:
(1) +d+%2B+c+=+8+
(2) +b+=+4+
(3) +d+=+4+
(4) +a+%2B+b+%2B+c+%2B+d+=+18+
--------------------
+a+%2B+4+%2B+c+%2B+4+=+18+
+a+%2B+c+%2B+8+=+18+
+a+%2B+c+=+10+
Subtract (1) from this result
+a+%2B+c+=+10+
+-d+-+c+=+-8+
+a+-+d+=+2+
+a+-+4+=+2+
+a+=+6+
and, since
+a+%2B+c+=+10+
+6+%2B+c+=+10+
+c+=+4+
The number is 6444