the sum of two numbers is 22 and three times one number is increased by five is 35
what are the two equations you would use
Let's call the two numbers x and y.
From the first statement, "the sum of two numbers is 22," we can write the equation:
x + y = 22
From the second statement, "three times one number is increased by five is 35," we can write the equation:
3x + 5 = 35
To solve this problem, we can start by assigning variables to the two numbers.
Let's say the first number is X and the second number is Y.
Based on the information given, we can write the two equations as follows:
1. The sum of two numbers is 22:
X + Y = 22
2. Three times one number is increased by five, resulting in 35:
3X + 5 = 35
These are the two equations we can use to solve the problem.
To solve this problem, we need to form two equations that represent the given information. Let's break down the problem and identify the key details:
Let's assume the two numbers are represented by variables x and y.
1. "The sum of two numbers is 22": This can be represented as x + y = 22.
2. "Three times one number is increased by five is 35": This can be represented as 3x + 5 = 35.
Now we have our two equations:
1. x + y = 22
2. 3x + 5 = 35
We can solve these two equations simultaneously to find the values of x and y.