Home
Class 14
MATHS
The sum of four numbers is 64. If you ad...

The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

A

21

B

27

C

32

D

Cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise EXPERT LEVEL|13 Videos
  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos
  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise FOUNDATION LEVEL|55 Videos
  • INTEREST

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

Similar Questions

Explore conceptually related problems

The sum of four numbers is 64. If you add 3 to first number , 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results become equal. What is the difference between the largest and the smallest of the original numbers ?

If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?

(1)/(2) is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

The sum of four numbers is 48. When 5 and 1 are added to the first two and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are

DISHA PUBLICATION-LINEAR EQUATIONS-STANDARD LEVEL
  1. The sum of the digits of a three-digit number is 16. If the tens digit...

    Text Solution

    |

  2. A two digit number is such that the product of its digits is 14. When ...

    Text Solution

    |

  3. When Ranjeev was born, his father was 32 years older than his brother ...

    Text Solution

    |

  4. In an exercise room some discs of denominations 2 kg and 5 kg are kept...

    Text Solution

    |

  5. One-third of Ramesh's marks in Arithmetic is equal to half his marks i...

    Text Solution

    |

  6. The sum of four numbers is 64. If you add 3 to the first number, 3 is ...

    Text Solution

    |

  7. In a family, a couple has a son and a daughter. The age of the father ...

    Text Solution

    |

  8. The sum of the numerator and denominator of a fraction is 11. If 1 is ...

    Text Solution

    |

  9. A uniform one metre long rod AB of weight 17 kg is suspended horizonta...

    Text Solution

    |

  10. In an objective examination of 90 questions, 5 marks are allotted for ...

    Text Solution

    |

  11. Two different natural numbers are such that, their product is less tha...

    Text Solution

    |

  12. Out of total number of students in a college 12% are interested in spo...

    Text Solution

    |

  13. A number consists of two digits such that the digit in the ten's plac...

    Text Solution

    |

  14. When the numerator and the denominator of a fraction are increased by ...

    Text Solution

    |

  15. If three numbers are added in pairs, the sums equal 10, 19 and 21. Fin...

    Text Solution

    |

  16. Find the number of positive integer solutions of the equation 2/x+(15)...

    Text Solution

    |

  17. Of the three numbers, the sum of the first two is 45, the sum of the s...

    Text Solution

    |

  18. In a certain factory, each day the expected number of accidents is rel...

    Text Solution

    |

  19. One of the angles of a triangle is two-third angle of sum of adjacent ...

    Text Solution

    |