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There are two numbers such that the sum of twice the first number and twice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?

#### Options

30

12

14

35

None of these

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#### Solution

3x + 2y = 120

2x + 2y = 100

So x = 20 and y = 30

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