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Aptitude Day 55


Problems On Numbers

 1. The difference between the squares of two numbers is 28000 and the sum of their numbers is 400. Find the numbers.

 Solution:
                Let the 2 numbers be x and y.
                (x2-y2) / (x+y) = 28000/400
                (x+y)(x-y) / (x+y) =  70
                x-y = 70 ------ Equation 1
                x+y = 400 ---- Equation 2
                By solving equations 1 and 2 we get,
                x = 235 and y = 165.
                The numbers are 235 and 165.

2. The sum of three consecutive numbers is 315. The middle number is:

Solution:
                Let the numbers be x, x+1 and x+2.
                x+x+1+x+2 = 315
                3x+3 = 315
                    3x =  312
                      x = 104.
                The middle number is x+1 = 105.


                                        

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