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Question

Find two numbers such that the larger number added to three times the smaller number gives 7 and twice the larger number added to the smaller number gives 9.


  1. 4, 7

  2. 2, 5

  3. None of these

  4. 1, 4


Solution

The correct option is D

1, 4


Let the larger number be x and the smaller number be y.

                x + 3y = 7                                             …(i)

                2x + y = 9                                             …(ii)

On multiplying (i) by 2 and (ii) by 1, we get

       2x+6y=14

       2x+y=9

Solving the above two equations, we get

5y = 5

Or y = 55 = 1

On substituting value of y in (i), we get

                x + 3×1 = 7

or             x + 3 = 7

or             x = 7 – 3 = 4

  Larger number is 4 and smaller number is 1.

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