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(1)
甲乙兩人有若干元，甲給乙80元後，則甲的錢數恰好為乙的3倍；
乙給甲40元後，則甲的錢數恰好為乙的9倍，
則甲乙兩人原有多少元？

設甲x，乙y。
x-80=3y...(1)---------x-80=3(y+80)----(1)
x+40=9y...(2)---------x+40=9(y-40)----(2)
.........................

x-80=3y+240
x-3y=320----(3)
x+40=9y-360
x-9y=-400---(4)

(3)-(4)
6y=720
y=120----(5)帶入(3)
x-3*120=320
x=360+320=680

ans:x=680,y=120

(2)
某科考試有填充和選擇兩種題型，
選擇題每題3分，填充題每題5分，
共24題，滿分100分，
那填充題與選擇題各出多少題？

選擇題:x

填充題:y

x+y=24-----(1)

3x+5y=100--(2)

(2)-(1)*3

5y-3y=100-72
2y=28
y=14-----帶入(1)

x+14=24

x=10

ans:選擇題:10題 , 填充題:14題

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