Aptitude Day 52

Problems on Numbers

1. The product of two numbers is 27 and the quotient, when the larger one is divided by the smaller, is 3. What's the sum of the 2 numbers?

Solution:
                Let the two numbers be x and y.
                xy = 27 ------ Equation 1
                x/y = 3
                x=3y
                Substitude x value in equation 1, we get
                3y² = 27
                  y = 3.
                Hence,  x=9.
                Their sum is 9+3 = 12.

2. The difference between 2 numbers is 20. When the larger number is divided by the smaller one, the quotient is 2 and the remainder is 1. Find the smaller number.

Solution:
                Let the numbers be x and x+20.
                x+20 = 2x + 1
                      x = 19.
               The smaller number is 19.