Home
Class 10
MATHS
Two number differ by 4 and their product...

Two number differ by 4 and their product is 192. Find the number.

Text Solution

Verified by Experts

Given, `a−b=4......(1)`
ab=192
We know that,
`(a+b)^2+(a−b)^2=4ab` ...
Doubtnut Promotions Banner Mobile Dark
|

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

Two numbers differ by 3 and their product is 504. Find the number.

The sum of two numbers is 48 and their product is 432. Find the numbers.

Knowledge Check

  • Two numbers differ by 8 and their product is 153. The number are:

    A
    `9,-17`
    B
    `-17,9`
    C
    `17,9`
    D
    `11,19`
  • If the sum of two numbers is 25 and their product is 156. Find the larger number.

    A
    11
    B
    12
    C
    13
    D
    15
  • If the sum of two numbers is 25 and their product is 156. Find the larger number.

    A
    11
    B
    12
    C
    13
    D
    15
  • Similar Questions

    Explore conceptually related problems

    The sum of two natural number is 28 and their product in 192. Find the numbers.

    The sum of two numbers is 18 and their product is 56. Find the numbers.

    The sum of two natural numbers is 8 and their product is 15. Find the numbers.

    The LCM of two number is 192 and their product is 3072. Find the HCF of two numbers.

    The difference between two numbers is 43 and their product is 50. Find the sum of their squares.