SOLUTION: Bill and Ted are brothers. The sum of their ages is 19. In three years Ted will be one and a half times as old as Bill. How old are Bill and Ted?
I'm confused! I tried it but I
Algebra.Com
Question 850505: Bill and Ted are brothers. The sum of their ages is 19. In three years Ted will be one and a half times as old as Bill. How old are Bill and Ted?
I'm confused! I tried it but I know it's not right. Thanks!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Assign variables and translate the description into symbols.
b = Bill's age
t = Ted's age
.
Their ages in three years will be b+3 and t+3.
.
---------------Solving the system--------------
2t+6=b+3
b-2t=3-6
-b+2t=6-3
-b+2t=3
-
SYSTEM NOW:
------------
-b+2t=3
and
b+t=19
------------
-
Add left members and add right members to eliminate b.
3t=21
t=7
That means from b+t=19 that b=12.
ANSWER: Ted is 7 years old and Bill is 12 years old.
RELATED QUESTIONS
The sum of bill and ted's age is 60. In two years, Bill will be 3 times as old as Ted.... (answered by stanbon)
Bill is three years older than Ted. In five years, the sum of their ages will be 47. How... (answered by JulietG)
Paul and his brothers Ted and Al worked out one day that their father was 3 times as old... (answered by ankor@dixie-net.com)
Tom is twice as productive as Bill and half as productive as Ted. If Bill produces 18... (answered by Theo)
Tony is four times as old as Janet and half as old as Bill. The sum of three ages is 39... (answered by fractalier)
Ted is 𝑥 years old. His Aunt is four times and old as he is while his daughter
is... (answered by ikleyn)
Ted is taking 2 less credits than bill, and Sarah is talking half as many as bill. if... (answered by ewatrrr)
Ron is 1/2 as old as Sam, who is three times as old as Ted. The sum of their ages is 55.... (answered by richwmiller)
The sum of the ages of Gina and Bill is 20 years. In Five years time, Gina will be twice... (answered by ankor@dixie-net.com)