Question

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

Answer 1

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.

Answer 2

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= 75/2 = 37.5y

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.