The ratio of two numbers is 7:9. The difference between the two numbers is 10. Find their sum
9x-7x=10
x=5
35+45=80
7:9= 35:45=80
45-35=10
To find the sum of the two numbers, we first need to determine the values of the two numbers individually. Here's how we can do that:
Step 1: Understand the given information
The ratio of the two numbers is given as 7:9. This means that the first number can be represented as 7x, and the second number can be represented as 9x, where x is a common factor.
Step 2: Formulate an equation
The difference between the two numbers is given as 10. So we can write the equation as:
9x - 7x = 10
Step 3: Solve the equation
Combining like terms, we have:
2x = 10
Divide both sides of the equation by 2 to isolate x:
x = 10/2
x = 5
Step 4: Find the values of the two numbers
Now that we know the value of x, substitute it back into our representations of the numbers:
First number = 7x = 7 * 5 = 35
Second number = 9x = 9 * 5 = 45
Step 5: Calculate the sum
Finally, calculate the sum of the two numbers:
Sum = First number + Second number = 35 + 45 = 80
So, the sum of the two numbers is 80.