The sum of two numbers is 24. One number is 2 times as large as the other. What are the numbers?

Solution:

Given The sum of two numbers is 24 One number is 2 times as large as the other.

Express this as an algebraic expression.

Let the two numbers be x, y

x+y = 24 ; x=2y

Replacing x=2y in x+y =24

2y + y =24

3y =24

y=8

Put y=8 in the equation x+y=24

x+8 =24

x=24-8

x=16

The sum of two numbers is 24. One number is 2 times as large as the other. What are the numbers?

Summary:

When the sum of two numbers is 24. One number is 2 times as large as the other. The numbers are 16,8.