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) Peter and Paul are two friends. The sum of their ages is
42 years. Peter is twice as old as Paul was when Peter was
as old as Paul is now. What is the present age of Peter?
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Answer Posted / shona
peter paul
present age X Y
whenPeter was Y Z
as old as Paul is now
(suppose before n years)
Peter(X) is twice(2) as old as Paul(Z) was when Peter(Y) was
as old as Paul(Y) is now => X=2Z
=>X-u=Y & Y-u=Z
i.e 2Z-u=Y u=Y-Z........(2)
u=2Z-y.....(1)
equating 1 & 2
2Z-Y=Y-Z
3Z=2Y
Z=2Y/3..........(3)
given
sum of their ages is 42
i.e
X+Y=42
2Z+Y=42
substituting from (3)
2*(2Y/3)+Y=42
7Y/3=42
Y=42*3/7
Y=18
so X=24
=> peter's age is 24
| Is This Answer Correct ? | 39 Yes | 4 No |
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