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Study the following pattern 9xx9+7=88 ...

Study the following pattern
`9xx9+7=88`
`98xx9+6=888`,
`987xx9+5=8888`, ……………
What is value of `987654xx9+2` ?

A

88888

B

888888

C

8888888

D

8898988

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 `987654xx9 + 2`. ### Step-by-Step Solution: 1. **Identify the Pattern**: - The first equation is `9xx9 + 7 = 88`. - The second equation is `98xx9 + 6 = 888`. - The third equation is `987xx9 + 5 = 8888`. From these equations, we can observe that: - The number of digits before the `9` is increasing by 1 in each equation (1 digit, 2 digits, 3 digits). - The number added is decreasing by 1 each time (7, 6, 5). - The result is increasing in the number of digits as well (2 digits, 3 digits, 4 digits), and the last digit of the result appears to be `8`. 2. **Formulate the Next Equation**: - Following the established pattern, the next equation will be `987654xx9 + 2`. - Here, the number of digits before `9` is 6, and the number added is 2. 3. **Determine the Result**: - Since the previous results had a pattern of increasing the number of digits in the result, we can predict: - The result of `987654xx9 + 2` should have 7 digits. - The last digit of the result will also be `8`, as seen in the previous equations. - Therefore, the result will be `8888888` (7 times `8`). 4. **Final Calculation**: - Thus, the value of `987654xx9 + 2` is `8888888`. ### Final Answer: The value of `987654xx9 + 2` is **8888888**.

To solve the problem, we need to identify the pattern in the given equations and apply it to find the value of `987654xx9 + 2`. ### Step-by-Step Solution: 1. **Identify the Pattern**: - The first equation is `9xx9 + 7 = 88`. - The second equation is `98xx9 + 6 = 888`. - The third equation is `987xx9 + 5 = 8888`. ...
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