Math Problem Statement
One number is 2/5 of another number the sum of the two numbers is 35. Find the two numbers use a, to separate your answers.
Solution
Let's denote the two numbers as and . According to the problem, we have the following conditions:
- (One number is of the other)
- (The sum of the two numbers is 35)
We can substitute the first equation into the second equation:
Next, combine the terms on the left-hand side:
To solve for , multiply both sides by :
Now that we have , substitute it back into the first equation to find :
So, the two numbers are 10 and 25.
Answer: , .
Would you like more details on any part of this solution? Here are five related questions:
- How do you find the least common multiple (LCM) of two numbers?
- How would you solve if the relationship was instead of ?
- How can you verify the solution by substitution?
- What happens if the sum of the two numbers was different, say 50?
- How would you solve it if the problem involved decimals instead of fractions?
Tip: When dealing with fractions, it's helpful to multiply both sides by the denominator to simplify calculations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Fractional Relationships
Linear Equations
Formulas
Fractional relation: x = (fraction) * y
Linear equation: x + y = total sum
Theorems
Basic Properties of Equations
Simplification of Fractions
Suitable Grade Level
Grades 6-8