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What will come in place of (?) question ...

What will come in place of (?) question mark.
50% of 128 + `(sqrt(16))/(2) xx 4 = ? + 10`

A

64

B

62

C

60

D

56

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation step by step, we start with the given expression: \[ 50\% \text{ of } 128 + \frac{\sqrt{16}}{2} \times 4 = ? + 10 \] ### Step 1: Calculate 50% of 128 50% of a number is calculated by multiplying the number by 50/100. \[ 50\% \text{ of } 128 = \frac{50}{100} \times 128 = \frac{1}{2} \times 128 = 64 \] ### Step 2: Calculate \(\sqrt{16}\) The square root of 16 is: \[ \sqrt{16} = 4 \] ### Step 3: Substitute \(\sqrt{16}\) into the expression Now we substitute \(\sqrt{16}\) back into the equation: \[ 64 + \frac{4}{2} \times 4 = ? + 10 \] ### Step 4: Calculate \(\frac{4}{2}\) Now we calculate \(\frac{4}{2}\): \[ \frac{4}{2} = 2 \] ### Step 5: Multiply by 4 Next, we multiply the result by 4: \[ 2 \times 4 = 8 \] ### Step 6: Substitute back into the equation Now we substitute this back into the equation: \[ 64 + 8 = ? + 10 \] ### Step 7: Add 64 and 8 Now we add 64 and 8: \[ 64 + 8 = 72 \] ### Step 8: Set up the equation Now we have: \[ 72 = ? + 10 \] ### Step 9: Solve for ? To find the value of ?, we subtract 10 from both sides: \[ ? = 72 - 10 = 62 \] ### Final Answer Thus, the value that comes in place of the question mark (?) is: \[ \boxed{62} \]
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