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. - Mathematics

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MCQ
Sum

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

Concept: Number System (Entrance Exam)
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