The sum of two numbers is 75. Three times the smaller number equals twice the larger…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The sum of two numbers is . Three times the smaller number equals twice the larger. Find the numbers.
Need a reminder? The key ideaShow
For a problem in words, name the two unknowns, write one equation for each fact, solve the pair, and check the answer in the words of the problem.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The pair. and , so .
Step 2. Substitute. , so and .
Step 3. The larger. .
Check. .
Answer: and .
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