Solve the Equation: Finding the Missing Number in 9+?-3=25

Missing Variable Equations with Order of Operations

9+?3=25 9+?-3=25

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Step-by-step video solution

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00:20 We will subtract 6 from both sides in order to isolate the unknown

Step-by-step written solution

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1

Understand the problem

9+?3=25 9+?-3=25

2

Step-by-step solution

To find out which number is missing, we solve the entire exercise to know which number we will have to add to get a result of 25:

93=6 9-3=6

To make 6 equal to 25 we will have to add 19.

Let's verify:

256=19 25-6=19

3

Final Answer

19 19

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Simplify known terms first, then find missing value
  • Technique: Calculate 9 - 3 = 6, then 25 - 6 = 19
  • Check: Substitute back: 9 + 19 - 3 = 25 ✓

Common Mistakes

Avoid these frequent errors
  • Trying to find the missing number without simplifying first
    Don't jump straight to finding ? without combining 9 - 3 = confusing steps and wrong answers! This makes the problem harder than needed. Always simplify the known numbers first, then find what's missing.

Practice Quiz

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\( 0:7+1= \)

FAQ

Everything you need to know about this question

Why do I need to do 9 - 3 first instead of finding ? right away?

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Simplifying first makes the problem clearer! When you calculate 9 - 3 = 6, you get 6+?=25 6 + ? = 25 , which is much easier to solve than the original equation.

What if I get confused about which operation to do first?

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Follow the order of operations (PEMDAS)! Since there are no parentheses or exponents, work from left to right: addition and subtraction have equal priority.

Can I solve this equation a different way?

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Yes! You could also think: "What number plus 9 minus 3 equals 25?" or rearrange to ?=259+3=19 ? = 25 - 9 + 3 = 19 . Both methods work!

How do I check if 19 is really the right answer?

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Substitute 19 for the question mark: 9+193 9 + 19 - 3 . Calculate step by step: 283=25 28 - 3 = 25 ✓. Since this equals 25, your answer is correct!

What if I accidentally calculated 9 + 3 instead of 9 - 3?

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That's a common mistake! If you got 9+3=12 9 + 3 = 12 , then ?=2512=13 ? = 25 - 12 = 13 . But checking: 9+133=1925 9 + 13 - 3 = 19 \neq 25 . Always double-check your arithmetic!

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