What will come in the place of the question mark '?' in the following question? 20 × 168 ÷ 14 – 40 = ? + 110
90
Solving the Arithmetic Expression
The question asks us to find the value represented by the question mark '?' in the given mathematical equation. We need to simplify the left side of the equation first, following the order of operations (often remembered by the acronym BODMAS/PEMDAS: Brackets, Orders/Powers, Division and Multiplication, Addition and Subtraction).
The equation is:
$$ 20 \times 168 \div 14 - 40 = ? + 110 $$
Step-by-Step Calculation
Let's break down the calculation step-by-step:
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Division: First, we perform the division operation on the left side.
$$ 168 \div 14 $$
Calculation: $168 \div 14 = 12$.
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Multiplication: Next, we perform the multiplication.
$$ 20 \times 12 $$
Calculation: $20 \times 12 = 240$.
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Subtraction: Now, we perform the subtraction.
$$ 240 - 40 $$
Calculation: $240 - 40 = 200$.
So, the left side of the equation simplifies to 200.
Finding the Missing Value
Now, the equation looks like this:
$$ 200 = ? + 110 $$
To find the value of '?', we need to isolate it. We can do this by subtracting 110 from both sides of the equation:
$$ ? = 200 - 110 $$
$$ ? = 90 $$
Conclusion
Therefore, the number that should come in place of the question mark '?' is 90.
The calculation confirms that 90 is the correct value.
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Important Questions from Simplification
Simplify
6 × {28 ÷ 84 × {36 × 49 ÷ (6 × 7)}}.
Simplify.
- A bag contains ₹5, 2 and 1 coins in the ratio of 3 : 4 : 5. The total value of all the coins is ₹2,100. How many coins of ₹5 are there in the bag?
- \(\frac{6}{2}\times\frac{10}{2}\div\frac{6}{2}\times6^2+5\times4=?\)
- Find the value of 2.\(\overline {36} \) + 3.\(\overline {21} \) - 1.\(\overline {05} \)
