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If 6xx 5 = 64 , 8 xx 7 = 116 and 10 xx 7...

If `6xx 5 = 64 , 8 xx 7 = 116 and 10 xx 7 = 144` then `11 xx 10 = ?`

A

A. 224

B

B. 242

C

C. 243

D

D. 222

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify the pattern in the given equations and apply it to find the value of `11 xx 10`. ### Step-by-Step Solution: 1. **Identify the pattern**: We have the following equations: - \( 6 \times 5 = 64 \) - \( 8 \times 7 = 116 \) - \( 10 \times 7 = 144 \) 2. **Calculate the normal multiplication**: - For \( 6 \times 5 \): \[ 6 \times 5 = 30 \] - For \( 8 \times 7 \): \[ 8 \times 7 = 56 \] - For \( 10 \times 7 \): \[ 10 \times 7 = 70 \] 3. **Determine how to reach the results**: - For \( 6 \times 5 = 30 \) to reach \( 64 \): \[ 30 \times 2 + 4 = 60 + 4 = 64 \] - For \( 8 \times 7 = 56 \) to reach \( 116 \): \[ 56 \times 2 + 4 = 112 + 4 = 116 \] - For \( 10 \times 7 = 70 \) to reach \( 144 \): \[ 70 \times 2 + 4 = 140 + 4 = 144 \] 4. **Apply the same pattern to \( 11 \times 10 \)**: - First, calculate \( 11 \times 10 \): \[ 11 \times 10 = 110 \] - Now, apply the identified pattern: \[ 110 \times 2 + 4 = 220 + 4 = 224 \] 5. **Final answer**: Therefore, \( 11 \times 10 = 224 \). ### Conclusion: The value of \( 11 \times 10 \) is \( 224 \). ---
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