SOLUTION: Bob is twice as old as Chuck and Susie is 10 years younger than Bob is the sum of their ages is 100 years, how old is susie

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Question 1046970: Bob is twice as old as Chuck and Susie is 10 years younger than Bob is the sum of their ages is 100 years, how old is susie
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Bob is twice as old as Chuck and Susie is 10 years younger than Bob
Let x be Chuck's age
Bob + Chuck + Susie = 100
2x + x + (2x - 10) = 100
5x = 110
x = 22, Chuck's age. Bob is 44 2%2A22 and Susie is 34 44-10
AND
22 + 44 + 34 = 100 CHECKS!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+b+ = Bob's age
+c+ = Chuck's age
+s+ = Suzie's age
-----------------------
(1) +b+=+2c+
(2) +s+=+b+-+10+
(3) +b+%2B+c+%2B+s+=+100+
------------------------
(1) +c+=+%281%2F2%29%2Ab+
Substitute (1) and (2) into (3)
(3) +b+%2B+%281%2F2%29%2Ab+%2B+b+-+10+=+100+
(3) +%285%2F2%29%2Ab+=+110+
(3) +b+=+%282%2F5%29%2A110+
(3) +b+=+44+
and
(1) +c+=+%281%2F2%29%2Ab+
(1) +c+=+%281%2F2%29%2A44+
(1) +c+=+22+
and
(2) +s+=+b+-+10+
(2) +s+=+44+-+10+
(2) +s+=+34+
Suzie is 34
--------------
check:
(3) +b+%2B+c+%2B+s+=+100+
(3) +44+%2B+22+%2B+34+=+100+
(3) +100+=+100+
and
(2) +s+=+b+-+10+
(2) +34+=+44+-+10+
(2) +34+=+34+
OK