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There is a natural number that becomes equal to the square of a natural number when is added to it and to the square of another natural number when is added to it. Find the number.
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Important Questions on Number Systems
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Find two natural numbers whose sum is and whose least common multiple is .
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Find two three-digit numbers whose sum is a multiple of and the quotient is a multiple of .
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The difference between the digits in a two-digit number is equal to , and the sum of the squares of the same digits is . Find the possible numbers.
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On dividing a two-digit number by the product of its digits, a quotient of and a remainder of are obtained. On subtracting the product of the digits of the number from the square of the sum of its digits, the given number is obtained. Find the number.
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The sum of the digits of a three-digit number is , and the sum of the squares of its digits is . If we subtract from that number, we shall get a number consisting of the same digits written in the reverse order. Find the number.
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The sum of the cubes of the digits constituting a two-digit number is and the product of the sum of its digits and the product of its digits is . Find the possible two-digit numbers.
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The difference between two numbers is . What can be said about the total numbers divisible by that can lie in between these two numbers?
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Which of the following is true?
