SOLUTION: my age this year is a multiple of 8. Next year it will be a multiple of 5.I am more than 20 years of age but less than 40. How old will I be in 6 years from now ?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: my age this year is a multiple of 8. Next year it will be a multiple of 5.I am more than 20 years of age but less than 40. How old will I be in 6 years from now ?      Log On

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Question 788866: my age this year is a multiple of 8. Next year it will be a multiple of 5.I am more than 20 years of age but less than 40. How old will I be in 6 years from now ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Any multiple of +5+ must end in +0+
or +5+
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The number preceding any multiple of +5+
must end in +4+ or +9+
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Any number ending in +9+ cannot be
a multiple of +8+
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Therefore, this year must end in +4+
+24+=+3%2A8+
Next year will be +25+=+5%2A5+
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This must be the right choice, since
+4%2A8+=+32+ and
+33+ is not a multiple of +5+
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+5%2A8+=+40+ -too old
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In +6+ years you will be +24+%2B+6+=+30+