Diana and Tom buy two cell phones. The phone numbersassigned to each are consecu

Question

Diana and Tom buy two cell phones. The phone numbersassigned to each are consecutive integers with a sum of 11,109,295.If the smaller number is Diana's, what are the phonenumbers??

Explanation / Answer

Let Diana's phone # be: X         Tom's phone # be :Y The problem states that the two numbers are consecutive(one isafter the other), from this we can deduce (assuming Y > X) thatY = X+1. And the sum of the two numbers is stated known to be11,109,295: From this we get our second equation i.e. X + Y =11,109,295 Then we have two simultaneousequations:                          Y = X +1                   X + Y = 11,109,295 Substituting Y, we get:                      X + X + 1 = 11,109,295                      2X + 1 = 11,109,295                            2X = 11,109,294 Then X becomes    .............                            X = 5554647 and      Y = X +1 = 5554648 Diana's Cell Phone # : 5554647 Tom's Cell Phone #    : 5554648

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