# After 2 years of time, Paul will be 3 times as old as Alice. Presently he is 6 times as old. How old is Paul now?

2
by rckyshyam

2014-11-15T00:28:39+05:30

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Paul = 6 * Alice      ---- 1

Paul +2 = 3 (Alice + 2 )
Paul + 2 = 3 Alice + 6
Paul = 3 Alice + 4        ----- 2

equate equation 1 and 2:
6 * Alice = 3 * Alice  + 4
3 * Alice = 4

Alice = 4/3 years = 16 months

Paul = 6 * 4/3 years = 8 years

2014-11-15T10:51:26+05:30
Let the present age of Paul be x and
Let the present age of Alice be y.
Then A.T.Q
1.  x = 6y  --------------------------------(1)

2.  x +2 = 3×(y + 2)
x + 2 = 3y + 6  --------------------------(2)

Putting the value of x in (2)

6y - 3y = 4
3y= 4
y = 4/3

For x = 6y
x = 6 × 4/3
x= 8.

Hence the age of Paul is 8 years.