SOLUTION: Ten years ago, a person was half as old as he is now. How old is he? Eight years from now, a person's age will be four-thirds of what it was 6 years ago. How old is the person

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Question 63093: Ten years ago, a person was half as old as he is now. How old is he?
Eight years from now, a person's age will be four-thirds of what it was 6 years ago. How old is the person now?

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
1. +x-10+=+1x%2F2+
add 10 tp both sides
+x+=+1x%2F2+%2B+10+
subtract 1/2 x from both sides
+1x%2F2+=+10+
multiply by 2
+x+=+20+
He is currently 20

2. +x%2B8+=+%284%2F3%29%28x-6%29+
Distribute
+x+%2B+8+=+%284x-24%29%2F3+
Multiply by 3
+3x+%2B+24+=+4x+-+24+
add 24 to both sides
+3x+%2B+48+=+4x+
subtract 3x from both sides
+48+=+x+
He is currently 48