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Verify that the addition of rational number is commutative for 5upon6 and -4upon9.

Reeta receives a certain amount of money on her retirement from her company. She gives half of this money and additional sum of Rs. 10000 to her daughter. She also gives one third of the money received and an additional sum of Rs. 3000 to her son. If the daughter gets twice as much as her son, find the total amount of money Reeta received from her company.


Let total money be= x
which implies
money given to daughter= x/2+10000
money given to son       = x/3 + 3000
If the daughter gets twice as much as her son
x/2 + 10000 =2 (x/3 + 3000 )
x/2 + 10000 = 2x/3 + 6000
10000-4000 = 2x/3 - x/2
4000 = (4x-3x)/6
4000 = x/6
to verify
24000/2+ 10000=2(24000/3 + 3000)
hence verified 
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