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Equation 1: M = L + 24;

Equation 2: M + 2 = 2(L + 2)

Substitute M: L + 24 + 2 = 2L + 4

Subtract L from each side: 26 = L + 4

Subtract 4 from each side: 22 = L

Max is 46 and Liam is 22; in 2 years Max will be 48 and Liam 24.

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14y ago
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lenpollock

Lvl 15
1y ago

Simultaneous Eq'ns

M = L + 24

M+2 = 2(L + 2)

Hence

M - L = 24

M - 2L = 2 Multiply by '-1'

Hence

M - L = 24

-M + 2L = -2

Add

L = 22

Hence M = 46

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Q: Max is 24 years older than his son Liam in two years Liam will be half as old as Max How old is Max now?
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