Question

One number exceeds another number by 5. Two times the smaller number diminished by the greater number equals 9. Find the larger number.

Let x be the larger number

Answer 1

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Answer 2

Answer:

larger number = x

smaller number = x-5

given = 2(x-5) - x = 9

=> 2x - 10 - x = 9

=> x = 19

there greater number = 19

so smaller number = 19-5 = 14

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