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10t+100x=10------------------1

20t+400x=30------------------2

dividing by 10

t+10x=1

t=1-10x-------------------------3

2t+40x=3----------------------4

putting the value of t in 4

2(1-10x)+40x=3

2-20x+40x=3

20x=1

x=1/20

putting the value of x in 3

t=1-10*1/20

t=1-1/2

Now x=1/2a

1/2a=1/20

by cross multiply.

a=10.