Uncle Bill is 6 times as old as John and he will be 4 times as old as John in 4 years' time. If Uncle Bill is less than 60 years of age, how old will he be in 6 years' time?

Please show working out as well, thanks.

1 answer

John's present age --- x
Uncle's present age ---- 6x

in 4 year's time:
John will be x+4
Uncle's age will be 6x + 4

6x+4 = 4(x+4)
6x+4 = 4x + 16
2x = 12
x = 6
John is now 6 and the uncle is now 36

in 6 years time the uncle will be 42
uncle's in 6 years time = 6x+6
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