A number is greater than the square of 44 but smaller than the square of 45. if one part of the number is the square of 6 and the number is a multiple of 5, then find the number.
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Heya User,
Let the no. be x.
--> 44² < x < 45²
=> 1936 < x < 2025
Now, let x = abcd,
--> 6² = 36..
Also, the no. is a multiple of 5 => x ends with a '0' or a '5'.
Now, ab cannot be 36 since 1 ≤ a ≤2
--> bc ╪ 36, since b∈ ( 0,9 )
--> cd ╪ 36, since 5 | abcd..
Hence, there exists no no. that satisfies above statement...
Let the no. be x.
--> 44² < x < 45²
=> 1936 < x < 2025
Now, let x = abcd,
--> 6² = 36..
Also, the no. is a multiple of 5 => x ends with a '0' or a '5'.
Now, ab cannot be 36 since 1 ≤ a ≤2
--> bc ╪ 36, since b∈ ( 0,9 )
--> cd ╪ 36, since 5 | abcd..
Hence, there exists no no. that satisfies above statement...
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