SOLUTION: five years from now, two times the age of miss reyes will be 8 yrs. less than four times the age of her niece three years ago. if miss reyes is 15 years older than her niece, what

Algebra ->  Linear-equations -> SOLUTION: five years from now, two times the age of miss reyes will be 8 yrs. less than four times the age of her niece three years ago. if miss reyes is 15 years older than her niece, what       Log On


   



Question 669182: five years from now, two times the age of miss reyes will be 8 yrs. less than four times the age of her niece three years ago. if miss reyes is 15 years older than her niece, what are their ages now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = Miss Reyes age now
+x+-+15+ = niece's age
+x+%2B+5+ = Miss Reyes age 5 years from now
+x+-+15+-+3+ niece's age 3 years ago
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given:
+2%2A%28+x+%2B+5+%29+=+4%2A%28+x+-+15+-+3+%29+-+8+
+2x+%2B+10+=+4%2A%28+x+-+18+%29+-+8+
+2x+%2B+10+=+4x+-+72+-+8+
+2x+=+72+%2B+10+%2B+8+
+2x+=+90+
+x+=+45+
+x+-+15+=+30+
Miss Ryes is 45
Her niece is 30
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check:
5 yrs from now, Miss Reyes will be 50
+2%2A50+=+100+
and
Nice's age 3 yrs ago was 27
+4%2A27+=+108+
+108+-+8+=+100+
OK