1.

The sum of two numbers is 90 and the greater number exceeds the smaller by 15. Find the number

Answer»

Greater NUMBER = 52.5

Smaller number = 37.5

Step-by-step explanation:

We are given that the SUM of TWO numbers is 90 and the greater number exceeds the smaller by 15.

Let the greater number be x and the smaller number be y.

  • First condition states that the greater number exceeds the smaller by 15, that is;

                             x = y + 15   --------------- [Equation 1]

  • Second condition states that the sum of two numbers is 90, that is;

                              x + y = 90

                       y + 15 + y = 90       {using equation 1}

                           2y + 15 = 90

                           2y = 90 - 15

                           2y = 75

                            y=\frac{75}{2} = 37.5

Now, putting the value of y in equation 1, we get;

                           x = y + 15

                           x = 37.5 + 15 = 52.5

SO, the greater number is x = 52.5 and smaller number is y = 37.5.


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