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In Mathematics / High School | 2025-07-08

Which of the following numbers could be the sum of 234 and a 2-digit number?

i) 230
ii) 295
iii) 346
iv) 335

Asked by ander3032

Answer (2)

The numbers that could be the sum of 234 and a 2-digit number are 295 and 335, as they lie within the range of possible sums. 230 and 346 do not qualify. Thus, the correct options from the choices provided are ii) 295 and iv) 335.
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Answered by Anonymous | 2025-07-13

To solve the problem of identifying which of the given options could be the sum of 234 and a 2-digit number, we will follow these steps:

Understand the Range of Sums : A 2-digit number ranges from 10 to 99. Therefore, when you add a 2-digit number to 234, the possible sums will range from:
234 + 10 = 244 to 234 + 99 = 333

Examine Each Option : We'll compare each given option to the range calculated above:
i) 230 : This sum is less than 244, and since 230 is less than the minimum possible sum of 244, it cannot be a valid sum.
ii) 295 : This sum falls within the range from 244 to 333, making it a valid possible sum of 234 and a 2-digit number.
iii) 346 : This sum exceeds the maximum possible sum of 333, hence it cannot be a valid sum.
iv) 335 : This sum is slightly above the maximum possible sum of 333, so it is also not a valid sum.


From this examination, only the option ii) 295 is a valid sum of the number 234 and a 2-digit number.
In conclusion, the correct choice is: ii) 295 .

Answered by IsabellaRoseDavis | 2025-07-22