Home
Class 11
MATHS
The digits of a positive integer, having...

The digits of a positive integer, having three digits, are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.

Text Solution

AI Generated Solution

To solve the problem step by step, we will denote the digits of the three-digit number as follows: Let the three-digit number be represented as \(abc\), where: - \(a\) is the hundreds place digit, - \(b\) is the tens place digit, - \(c\) is the units place digit. Since the digits are in Arithmetic Progression (A.P.), we can express them as: ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

The sum of digits of a two digit number is 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.

The sum of a two digit number and the number obtained by reversing the order of its digits is 121, and the two digits differ by 3. Find the number.

The sum of a two-digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.

The sum of a two digit number and the number obtained by reversing the order of its digits is 99. If the digits differ by 3, find the number.

The sum of a two digit number and the number obtained on reversing the digits is 165. If the digits differ by 3, find the number.

Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number.

The sum of the two-digit number is 9 The number formed by interchanging the order of the digits is 27 more than the given number.Find the number.

The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.

The ratio between a two digit number and the number obtained on reversing its digits is 4 : 7. If the difference between the digits of the number is 3, find the number.

Find the number of even positive integers which have three digits?

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Suppose x and y are two real numbers such that the rth mean between xa...

    Text Solution

    |

  2. The sum of two numbers is (13)/6dot An even number of arithmetic means...

    Text Solution

    |

  3. The digits of a positive integer, having three digits, are in A.P. and...

    Text Solution

    |

  4. If x ,y ,z are in A.P. and A1 is the A.M. of xa n dya n dA2 is the A.M...

    Text Solution

    |

  5. A man repays a loan of R s .3250 by paying R s .20 in the first month ...

    Text Solution

    |

  6. If (b+c-a)/a ,(b+c-a)/b ,(b+c-a)/c , are in A.P., prove that 1/a ,1/b ...

    Text Solution

    |

  7. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...

    Text Solution

    |

  8. If a ,b ,c are in A.P., prove that 1/(b c),1/(c a),1/(a b), is al...

    Text Solution

    |

  9. If a^2,b^2,c^2 are in A.P., then prove that the following are also in ...

    Text Solution

    |

  10. Two cars start together in the same direction from the same place. The...

    Text Solution

    |

  11. Find an A.P. in which the sum of any number of terms is always three ...

    Text Solution

    |

  12. If log2,log(2^x-1),log(2^x+3) are in A.P., write the value of xdot

    Text Solution

    |

  13. The sums of first n terms of two A.P. ' s are in hte ratio (7n+2):(n+4...

    Text Solution

    |

  14. Give first 3 terms of the sequence defined by an=n/(n^2+1)dot

    Text Solution

    |

  15. Find the first four terms of the sequence whose first term is 1 and ...

    Text Solution

    |

  16. 1,4,7,10,is an A.P. whose first term is 1 and the common difference is...

    Text Solution

    |

  17. 11, 7, 3, -1 is an A.P. whose first term is 11 and the common diffe...

    Text Solution

    |

  18. The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, fin...

    Text Solution

    |

  19. If the nth term an\ of a sequence is given by an=n^2-n+1 write down i...

    Text Solution

    |

  20. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

    Text Solution

    |