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Frank is 24. Sue is 8 and John is 9.

F = 3S

F = J + 15

S = J - 1

Where F is Frank's age, S is Sue's age, and J is John's age. You can substitute J - 1 for S in the first equation:

F = 3(J - 1)

Then replace F with the expression from the second equation:

J + 15 = 3(J - 1)

2J = 18

J = 9

S = 8

F = 24

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You could also put both expressions in terms of the smallest value, S

F = 3S

F = 15 + (S +1)

3S = 16 + S

2S = 16

S = 8

F = 24

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Q: Frank is 3 times as old as Sue and 15 years older than John while Sue is 1 year younger than John How old is Frank?
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