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Question

Sheela and Meena have a certain number of coins totalling 30. If Sheela gives 5 coins to Meena ,Meena will have double the number of coins Sheela has. Find the correct graph that depicts the given information and the solution from the graph.



A

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B

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C

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D

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Solution

The correct option is A


Let number of coins sheela has be x and number of coins Meena has is y.

Total number of coins is 30

x+y=30

Then the Graph should pass through (30,0) and (0,30)
 [By substituting x = 0, y = 0 and getting corresponding values]

Again, Sheela gives 5 coins to Meena ,Meena will have double the number of coins Sheela has.

2(x5)=y+5y=2x15

Then the Graph should pass through ( 7.5, 0 ) and ( 0, -15)
 [By substituting x = 0, y = 0 and getting corresponding values]

The point of intersection of two lines passing through above points is  (15,15)

The solution is (15, 15)

Mathematics

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