The sum of two numbers is 64, and one of them is 12 more than the other.
The sum of two numbers is 64, and one of them is 12 more than the other. What are the two numbers?
Answer/Solution
26-38
Steps/Work
In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 64:
word problem = 64
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 64 − 12
= 52.
x = 52/2
= 26.
This is the first number. Therefore the other number is
x + 12 = 26 + 12 = 38.
The sum of 26 + 38 is 64.
A
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 64:
word problem = 64
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 64 − 12
= 52.
x = 52/2
= 26.
This is the first number. Therefore the other number is
x + 12 = 26 + 12 = 38.
The sum of 26 + 38 is 64.
A