Math can be difficult however, once you understand the reason behind these questions, a lot of questions become quite easy. One of the most frequently asked questions in examinations at school is:
“A number increased by 9 results in 43. Find that number. Let’s find out!”
In this blog we will address the problem in a simple and simple manner, to make sure that even a 7th grade student can complete it confidently.
Understanding the Question
Let’s first understand what the question is asking.
- “A number” → This means an unknown value (we don’t know it yet).
- “Increased by 9” → Add 9 to that number.
- “Gives 43” → The result after adding 9 is 43.
So basically, we are looking for a number which, when 9 is added, becomes 43.
Step-by-Step Solution
Step 1: Assume the Unknown Number
Let the number be x
Step 2: Form the Equation
According to the question:
x + 9 = 43
Step 3: Solve the Equation
To find the value of x, we need to isolate it.
So we subtract 9 from both sides:
x + 9 – 9 = 43 – 9
This simplifies to:
x = 34
Final Answer
The number is 34
Quick Shortcut Method
If you want to solve this quickly without writing equations:
- You know the final answer is 43
- The number was increased by 9
- So just subtract:
43 – 9 = 34
This is the fastest method for such problems.
Why This Type of Question is Important
This question is based on linear equations, which are a very important concept in mathematics. These types of problems help you:
- Improve logical thinking
- Understand algebra basics
- Solve real-life problems easily
You will often see similar questions in exams, competitive tests, and even higher-level math.
Similar Questions You Can Practice
Try solving these on your own:
- A number increased by 7 gives 50. Find the number.
- A number decreased by 5 gives 20. Find the number.
- Twice a number plus 10 equals 30. Find the number.
These questions follow the same concept, so practicing them will make you stronger in algebra.
Common Mistakes to Avoid
Many students make small mistakes while solving:
- Forgetting to subtract correctly
- Misreading “increased by” as subtraction
- Not forming the equation properly
Always read the question carefully and follow step-by-step logic.
Pro Tip for Students
Whenever you see words like:
- Increased by → Add (+)
- Decreased by → Subtract (−)
- Twice → Multiply (×2)
Convert the sentence into a math equation first — this makes solving much easier.
Conclusion:-
Although this might seem simple initially but it is a good base to learn how to solve and formulate problems. Once you’ve mastered this technique, you’ll be able solve a variety of other similar problems with ease. Final Answer: 34
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