banannie banannie

09-05-2015
Mathematics

Answered

john is now three times as old as his brother Sam. In five years, john will be twice as old as Sam will be then. Find their present ages.

Verified Answer :

apologiabiology apologiabiology

09-05-2015

j=john's age now
s=sam's age now

j=3 times s
j=3s
in five years (j+5,s+5)
j+5=2 times (5+s)
j+5=2(s+5)
j+5=2s+10
subtract 5 from both sides
j=2s+5
use other equation
j=3s
j=2s+5
subsitute
3s=2s+5
subtract 2s
s=5

sam=5
j=3s
j=3 times 5
j=15

john=15
sam=5

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