SOLUTION: Holly is 6yrs younger than her sister. Holly's mother is 44 twice the sum of the age of her two children how old is holy 2x-6=44

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Holly is 6yrs younger than her sister. Holly's mother is 44 twice the sum of the age of her two children how old is holy 2x-6=44      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 587364: Holly is 6yrs younger than her sister. Holly's mother is 44 twice the sum of the age of her two children how old is holy
2x-6=44
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h+ = Holly's age
Let +s+ = Sister's age
Let +m+ = Mother's age
given:
(1) +h+=+s+-+6+
(2) +m+=+44+
(3) +m+=+2%2A%28+h+%2B+s+%29+
------------------
Substitute (2) into (3)
(3) +44+=+2h+%2B+2s+
Substitute (1) into (3)
(3) +44+=+2%2A%28+s+-+6%29++%2B+2s+
(3) +44+=+2s+-+12+%2B+2s+
(3) +44+=+4s+-+12+
(3) +4s+=+56+
(3) +s+=+14+
and
(1) +h+=+s+-+6+
(1) +h+=+14+-+6+
(1) +h+=+8+
and
(3) +m+=+2%2A%28+h+%2B+s+%29+
(3) +m+=+2%2A%28+8+%2B+14+%29+
(3) +m+=+2%2A22+
(3) +44+=+44+
OK
Holly is 8