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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?
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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