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the sum of two numbers is 103. If the greater number is divided by the smaller number the quotient is 2 and the remainder is 10 find the number​

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sqdancefan

9514 1404 393

Answer:

  31 and 72

Step-by-step explanation:

Let x be the smaller number and y be the larger number. Then we have ...

  x + y = 103 . . . . . sum is 103

  y = 2x +10 . . . . . y/x is 2 remainder 10

Substituting for y, we get ...

  x + (2x +10) = 103

  3x = 93

  x = 31

  y = 103 -31 = 72

The two numbers are 31 and 72.

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