SOLUTION: John is twice as old as his friend peter.peter is 5 years older than Alice.in 5 years John will be three times as old as Alice .how old is peter now?

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Question 1022174: John is twice as old as his friend peter.peter is 5 years older than Alice.in 5 years John will be three times as old as Alice .how old is peter now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Alice's age now
Let +p+ = Peter's age now
Let +j+ = John's age now
------------------------
(1) +j+=+2p+
(2) +p+=+a+%2B+5+
(3) +j+%2B+5+=+3%2A%28+a+%2B+5+%29+
------------------------
Substitute (2) into (1)
(1) +j+=+2%2A%28+a+%2B+5+%29+
Substitute this result into (3)
(3) +2%2A%28+a+%2B+5+%29+%2B+5+=+3%2A%28+a+%2B+5+%29+
(3) +2a+%2B+10+%2B+5+=+3a+%2B+15+
(3) +a+=+0+
and
(2) +p+=+0+%2B+5+
(2) +p+=+5+
and
(3) +j+%2B+5+=+3%2A%28+a+%2B+5+%29+
(3) +j+%2B+5+=+3%2A%28+0+%2B+5+%29+
(3) +j+%2B+5+=+15+
(3) +j+=+10+
----------------
Peter is 5
John is 10
Alice has just been born
-------------------
check:
1) +j+=+2p+
1) 10+=+2%2A5+
(1) +10+=+10+
and
(2) +p+=+a+%2B+5+
(2) +5+=+0+%2B+5+
(2) +5+=+5+
and
(3) +j+%2B+5+=+3%2A%28+a+%2B+5+%29+
(3) 10+%2B+5+=+3%2A%28+0+%2B+5+%29+
(3) +15+=+3%2A5+
(3) +15+=+15+
OK