# 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?

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by rckyshyam

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by rckyshyam

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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

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