SOLUTION: John is 5 years older than bob. Three years ago he was twice as bob. How old is john?

Algebra.Com
Question 749797: John is 5 years older than bob. Three years ago he was twice as bob. How old is john?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
John is 5 years older than bob.
j = b+5
:
Three years ago he was twice as bob.
j-3 = 2(b-3)
j - 3 = 2b - 6
j = 2b - 6 + 3
j = 2b - 3
replace j with (b+5)
b + 5 = 2b - 3
5 + 3 = 2b - b
b = 8 yr is Bob's age
:
How old is john?
j = 8 +5
j = 13
:
:
Check solutions in the statement:
"Three years ago he was twice as bob."
13 - 3 = 2(8-3); confirms our answer

RELATED QUESTIONS

Five years ago, John was three times older than Jack. Today, John is just twice as old... (answered by ankor@dixie-net.com)
Please help me solve this problem: John is as twice as old as Mary today. Three years... (answered by ankor@dixie-net.com)
Bob is as old as John will be when Bob is twice as old as John was when Bob's age was... (answered by josmiceli)
Bob was thrice as old as john 5 years ago. Bob was thrice as old as john 5 years . How... (answered by Cromlix)
Two years ago, John was 3 times as old as Bob. In 5 years time, John will be twice as old (answered by stanbon,macston)
5 years ago, Brian was twice as old as John.If Brian is 7 Years older than John, how old... (answered by ankor@dixie-net.com)
BOB'S FATHER IS 3 TIMES OLD AS BOB. 4 YEARS AGO HE WAS 4 TIMES OLDER. HOW OLD IS... (answered by uksraj)
Bob's father is 3 times old as Bob. 4 years ago, he was 4 times older. How old is... (answered by fractalier)
Bob's father is 3 times old as Bob. 4 years ago, he was 4 times older. How old is... (answered by fractalier)