SOLUTION: I am thinking of a number. If I add a half, fourth, and a ninth of it together, I get a total of 62. What's my number?

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Question 1102623: I am thinking of a number. If I add a half, fourth, and a ninth of it together, I get a total of 62. What's my number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the unknown number
+x%2F2+%2B+x%2F4+%2B+x%2F9+=+62+
Multiply both sides by +36+
+18x+%2B+9x+%2B+4x+=+2232+
+31x+=+2232+
+x+=+72+
Your number is 72
----------------------check:
+72%2F2+%2B+72%2F4+%2B+72%2F9+=+62+
+36+%2B+18+%2B+8+=+62+
+62+=+62+
OK