Home
Class 10
MATHS
The sum of the squares of two consecutiv...

The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples.

Text Solution

AI Generated Solution

To solve the problem, we need to find two consecutive multiples of 7 whose squares sum up to 637. Let's break down the solution step by step. ### Step 1: Define the Multiples Let the first multiple of 7 be represented as \( 7x \). Therefore, the next consecutive multiple of 7 will be \( 7(x + 1) \). ### Step 2: Set Up the Equation We need to find the sum of the squares of these two multiples: \[ ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

The sum of the squares of two consecutive multiples of 7 is 1225. Find the multiples.

The sum of two consecutive multiples of 3 is 69. Find them.

The sum of three consecutive multiples of 11 is 363. Find these multiples.

The sum of three consecutive multiples of 7" is "84. Find the three multiples

the sum of 2 consecutive multiple of 6 is 66 . find these multiples.

The sum of three consecutive multiples of 8 is 888. Find the multiples.

The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

The sum of three consecutive multiples of 8 is 888 .Find the multiples.

The sum of two consecutive multiples of 2 is 18. Find the numbers.

The sum of the squares of two consecutive odd numbers is 394. Find the numbers.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Swati can row her boat at a speed of 5km/hr in still water. if it take...

    Text Solution

    |

  2. A motor boat whose speed is 24 km/hr in still water takes 1 hr more to...

    Text Solution

    |

  3. The sum of the squares of two consecutive multiples of 7 is 637. Find ...

    Text Solution

    |

  4. The numerator of a fraction is 3 less than the denominator. If 2 is ...

    Text Solution

    |

  5. Three consecutive positive integers are such that the sum of the squar...

    Text Solution

    |

  6. The difference of squares of two numbers is 88. If the larger number i...

    Text Solution

    |

  7. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  8. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  9. Solve the following quadratic equations by factorization: 1/((x-1)(x-2...

    Text Solution

    |

  10. Solve the following quadratic equations by factorization: (x-a)/(x-b)+...

    Text Solution

    |

  11. Solve for : x :(x-1)/(x-2)+(x-3)/(x-4)=3 1/3,x!=2,4

    Text Solution

    |

  12. Solve for : a^2b^2x^2+b^2x-a^2x-1=0

    Text Solution

    |

  13. Solve the following quadratic equations by factorization method: 4x^2...

    Text Solution

    |

  14. Solve: x=1/(2-1/(2-1/(2-x))),x!=2

    Text Solution

    |

  15. Solve: x+1/x=25

    Text Solution

    |

  16. Solve the following quadratic equations by factorization method: (i) x...

    Text Solution

    |

  17. Solve for: 1/(2a+b+2x)=1/(2a)+1/b+1/(2x)

    Text Solution

    |

  18. Solve for : 1/(x-3)+2/(x-2)=8/x ; x!=0,2,3

    Text Solution

    |

  19. The diagonal of a rectangular field is 60 metres more than the shor...

    Text Solution

    |

  20. the hypotenuse of a right angle triangle is 1m less than twice the sho...

    Text Solution

    |