Aptitude Day 49

Problems on Numbers

1. The sum of two numbers is 16. Three times of the first number will be five times of the second number. Find their product.

Solution:
               Let the 2 numbers are x and y.
               x+y = 16    ------ Equation 1
               3x = 5y   
               x = 5y/3
               Substitude x value in equation 1. We get,
               5y/3 + y = 16
               5y+3y = 16*3
                   8y = 16*3
                       y = 6.
               Then, x = 10.
               Their product is 6*10 = 60.

2. The sum of two numbers is 33 and their difference is 3. Find their ratio.

Solution:
               Let the numbers be x and y.
               x+y = 33
               x-y = 3
               By solving these two equations we get,
               2x = 36
                x = 18.
                y = 15.
                Their ratio is 18:15 which is 6:5.